{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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IBAKB4JVDOMECgUAgEAgEglcO4QQLBAKBQCAQCF45yrRtsp+fH4sXL2bGjBkoFApcXV1xdXUlPDyc8PBwnT8DhT4m52eg0MeU5Bhlpb2kz3v9+nVmzpxJu3btmDx5cqleP4JXi4SEBGbMmEGFChV48803X7jvx8v23TbEeUNDQ/n55595+PAhGzZsQKFQlOo1JBDkRUREBNOmTaN58+Y0adKkwOsZKNb8IMbW/+fly5eze/duli1bhouLi2E+fKmMOHv2rDR79mwJkIYOHSoB0pw5cyRJkqQ5c+bo9XNRjsn5uSjHlOQYL8N5o6KipC5dukiAVKdOHUkgMBQJCQnSkiVLpNq1a0tVq1Z9Ib8fL9N32xDn1Wg00uDBg3OPSU5Ofv6DFghKmfDwcGnx4sVS+fLlpQYNGui8nos7P4ix9fv52LFjUtOmTSVAunjxYoGfYXEok7bJgYGBHDlyhMqVK7N3716GDx+OlZXVfyby8apEbQo6r7GxMadPnyYjI4Nr167x2muvMXXq1FK9jgSvBjExMezcuROZTEZkZCRarZYuXbq8cN+Pl+W7bajznj9/ngsXLqBQKLhy5QorV67EzMysVK8lgeBpIiMj2b59O5aWlhgZGWFhYYGnp+dLF1H9r40dFBRESEgIVlZWxMTEMGLECBwcHAxyDZS6E3zu3DlOnTqFt7c3rVq1QiaTlebpBSVAXFwcmzdvxsTEhLfffhtTU9OyliR4SUlOTmbLli1kZWUxZMgQrKysylqSoJBotVr279/P/fv3ad26NXXr1i1rSQJBrgNsY2NDz549sbCwKGtJAuD48eNcvnwZb29vWrZsafDzlerGuMDAQE6fPk3NmjVp1aoVmZmZ+Pn5ERMTU5oyBMUgOjqaLVu2YGlpyYABAzA1NSUwMJArV66UtTTBS0ZiYiIbN25EJpMxaNAgrKysuHz5MhcuXChraQI9kSSJQ4cOcfPmzVwHOCoqCj8/PzIzM8tanuAVJSoqim3btmFra0uPHj2wsLBgypQp/Prrr2Ut7ZXm+PHjXLlyhbp169KyZUsePXpE165duX37tsHOWWpOcGBgIIcPH6Z27dp07NgRmUxGXFwcHTt25Ny5c6UlQ1AMoqOj2bFjBwqFgh49euRG5WbMmMHcuXPLWJ3gZSIuLg5fX1/kcjk9e/bExsYGgC+//JJZs2aVsTqBPkiSxO7du7lx4wadO3fOjQCfOnWKjh07kpSUVMYKBa8ikZGR+Pr6YmdnR7du3bC0tASyr0sRzCk7chzgOnXq0KpVKwBSUlLYt28fCQkJBjtvqVSHCAwMxN/fnwYNGtC2bdvc101MTKhevbrIC/sPkJCQwLZt2zAxMWHw4MHPpEB4enpiZ2dXhuoELxOpqals374djUbD4MGDn0mBcHd3JzU1tQzVCfRBq9Vy8OBBHj16RJs2bahdu3bue1ZWVlSvXl2kwglKnZwIcI4D/PTcsmbNGpHaV0bkpEDUrl071wEGqFKlChcuXKB69eoGO7fBc4IDAwM5fvw4Xl5edO7c2ZCnEhiIqKgoduzYgVKp5K233sqNygkEJU1cXBzbtm1DLpfTu3dv8XD1H0SSJA4ePMjly5fp1KkT9erVK2tJAgFRUVH4+vpia2tL9+7dxf6CF4STJ08SEBBA/fr1eeONN0r9/AZNh8ipAlGnTh06der03PuSJJGeno5arTakDEExiIuLY9euXRgbG9O7d+88HeDMzExUKlUZqBO8TMTHx7Nz504kSaJXr155OsCZmZlkZGSUgTqBPkiSxF9//cWtW7fydYA1Gg3p6elotdoyUCh4FYmOjsbX1xcbG5t8HeCePXsyYcKEMlD36nLq1CnOnz+Pt7d3ng7w/fv3cXJy4vTp0wbTYDAnOCAggJMnT1KvXj3atWuX59JXfHw85ubm7N6921AyBMUgPj6ezZs3Y2RkxODBg7G2ts7T7q233mLgwIGlrE7wMpGamoqvry9qtZpBgwZhb2+fp93IkSN58803S1mdQB+0Wi1+fn7cv3+fVq1a5RsBPnjwIObm5oSFhZWyQsGrSFZWFqtXryYjIwMfHx+srKwIDw/nwoULueW9wsPDCQsLIzIyMvfnf7+v6+fC2Iqxw9m+fTtbtmyhYcOGz6RAPI1WqyUuLs6gm2gN4gQ/evQIX19fZDIZderUQSaT5f4Rnv5DREVFARAbGwvo/qPqY5PfzyXx4RZnjP/aec+fP88PP/xAamoqb731VoF523K5nDIoNy14SdBqtaxfv564uDiqVKlCSkoKkPd1GR8fnxsJLuvv5X/1u22o865atYojR47Qtm1bvL298/285fLs246YMwSlQVBQENOnTycwMJD169cDsHTpUho2bMjSpUtzfw4ICKBWrVr5vq/r58LYirGX0qdPH1avXl1gGbRq1aqhVqvzdZJLBEN04Jg2bZpkY2Ojs7tQTse4WbNmPWOTXzcRfWzy+7kox5TkGP/V8w4fPlzSRXx8vJSQkKDTTiDIi6CgIAmQ+vXrp9d1OXPmzGd+Lqvvx3/9u22I89aoUUPSRUZGhhQVFSWp1WqdtgJBcQkNDZVatmwpHThwQAoLC5MkSZLCwsKkwMDAZ3728/OTrl69mu/7un4ujK0YO0z65JNPpB49ehT42WVlZUlBQUFSWlpagXbFwSAb42bOnMnmzZvZvn37f66r0X+5I1NJnvfEiRMMGDCAPXv20K1bt5K+RASCXEJCQvD09GTdunV4eXn9J74f/+XvtqHO2717d8qXL8/27dtL9foRCEqCjh07Ymtry5YtW8paiuAJQUFBVKxYkYMHD9KhQweDnMMgTnB6ejpZWVn55pDmkJGRQfPmzfn6669Fnt8LhkajITk5GUtLS4yNC66kN2PGDNLT0/ntt99KSZ3gZUKr1ZKUlISFhQUmJiYF2n711Vfcu3eP1atXl5I6gb4kJycjl8t1dt4KDAxk7Nix7Ny5E09Pz1JSJ3hVSU1NZc+ePbRq1Sr3IS4vPvzwQywsLPjmm29KUd2ry9WrV3nw4AE9e/bM1yYyMpJevXrx888/06RJE4PoMEidYDMzM71r/164cCE3J1jw4mBkZIStra1etg8fPiQ5OdmwggQvLXK5XO9r7fHjx9y6dcuwggRFQt+SU6mpqVy4cEFU+RCUCnFxcQwaNIgDBw4U6AT//PPPpSdKgK+vLytWrCjQCXZ2djZoZQgw0Ma433//nY4dO+q0MzExYfv27WVSG05QMEFBQdSpU4eAgACdttOnT+ezzz4rBVWCl5G4uDjq1KnD0aNHddqOHz+e77//vhRUCQrLu+++y5QpU3Ta1axZk+3bt+Pi4lIKqgSvOlZWVkyePJny5csXaHfq1ClOnTpVSqoEzZo145133inQJiMjg23btj2zKbekMUg6xOeff86ff/5JcHBwSQ8tKCXu3btHtWrVOHr0KK1bty5rOYKXmJiYGBwdHdmxYwe9evUqazmCIvLmm29ibm7Otm3bylqKQFBoevTogUwmY9euXWUtRfCEyMhIXFxc2L17N927dzfIOQwSCR48eDArV67UaSdJEpMmTTJ4uFtQeFxdXdmzZ88z7U7zY+3atSIfWFBkrK2t2bNnD02bNtVp6+vryw8//FAKqgSF5YsvvuDjjz/Waffo0SMmTZpk0OiOQJBDSkoKU6dO5fr16wXade3alS5dupSSKsHhw4eZPXt2gTbm5uZMmDCBihUrGkyHwdsmF4QkScjlcv744w+dYXHBi8vbb79NcHAw//zzT1lLEbzkTJgwgRMnTnD58uWyliIoImfPnqVp06ZcuXKFOnXqlLUcwUtOzkrTzp07C8w/FZQuc+fO5aeffiI6OrpMdRgkEnzgwAGmT5+u004mkzF16lS9oo2C0iUuLo733nuPGzdu6LTt0qUL/fv3LwVVgpeRjIwM3nvvPb3yz9u1a8fQoUNLQZWgsCxZsoRFixbptHN1dWXKlCn5dgUUCEoSKysrNmzYQMOGDQu0W79+PStWrCglVYIePXrkNs/Ij/T0dD766COuXr1qMB0GiQS/KB6+oOjk1G7dv38/nTt3Lms5gpeYlJQUrKys2Lhxo2i//R+mV69eZGVlsXfv3rKWIhAUmv79+5OYmMjff/9d1lIET0hMTMyt3dyvXz+DnMMgkeDXX3+dSZMm6WXr6+vL3bt3DSFDUAysra356KOPqFSpkk7b8+fPc+jQoVJQJXgZUSgUfPTRR3h5eem0vXz5Mvv37y8FVYLC0qdPH71uVAkJCWzZsoW4uLhSUCV41UlNTaVVq1Y6q8+8//77TJs2rZRUCbZs2aIzB9vMzIzVq1fTuHFjg+ko05xgAFNTU3788Ufef//9spQhKAbvvPMO165d48yZM2UtRfCSM336dPbs2SNqBf+HuXz5Mt7e3pw7d86gNzeBALKbuFhbW7Np0yYGDBhQ1nIET1iwYAFz5swhKSmpTHUYJBJ869YtNm/erJdtkyZNcHJyMoQMQTHIyMhg/fr1epW5q1KlCjVr1iwFVYKXEa1Wy/r163nw4IFO2woVKlC3bt1SUCUoLP7+/hw+fFinnYWFBU2aNMHc3LwUVAledSwsLLh79y5du3Yt0G7u3Ll61bkWlAwjRozg4sWLBdqoVCrat2+v17xSVAwSCV6wYAGzZ88WXcT+w4gdtYLSQq1WY2JiwsqVKxkxYkRZyxEUkYEDBxITEyNSowT/SYYOHcrjx49FlaMXCJVKhampKWvXruXtt982yDkMEgl2d3fXq+YnQHh4uHCWX0AUCgUtWrTAzs5Op21iYiJRUVGloErwMiKXy2nRogWOjo46bZOTk4mIiCgFVYLC4uXlRa1atXTaqdVqwsLCUKlUpaBK8KqjUqkwNzdnw4YNBdp99913rF69upRUCZYuXarTv1AoFFy/ft1gjTLgBcgJtrW15dNPPxUJ6f9hJk6cyIkTJ7h06VJZSxG85Hz22WesXbuWR48elbUUQRG5ffs2r732GsePH6dly5ZlLUfwkpOVlYWjoyOLFy9m0KBBZS1H8ITly5fz8ccfl3kVMYNEgpOTkwkKCtLLViaTodVqDSFDUAy0Wi1BQUGkpqbqtBWfoaC4BAUF6bUiJK61F5fY2Fi9ovRyefZtR3yOgtLAxMSEhIQEnQ7wxIkTad++fSmpErzzzjs6HWCtVouNjQ1r1qwxmA6DOMHr1q2jatWqetlGRUWJKPALSFpaGhUrVuSvv/7SabtgwQKdCe4CQUFUqVKF9evX67SbM2eOXhvoBKXPtGnT6Nu3r067qlWrkpWVxRtvvFEKqgQCuHHjBvHx8QXaaLVa1Gp1KSkSxMfH62xlLZPJUKvVBn1gNogTXJhojYmJSW5kQPDiIJPJAP2iNUZGRhgZGRlakuAlRi6X632tGRsbl4IiQWGRyWTok10nk8kwNjbOnWMEAkNTq1YtfH19C7RZtGgRx44dKx1BArZt20bt2rULnDNkMhmpqakG3TBtEO9z3LhxaDQavWybNGnCwoULDSFDUAzMzc2RJEmvHKq5c+eKZSRBsVCpVIwfP16n3aJFi0Rt2ReUP//8k5MnT+q0Cw0NpXLlyvj7+5eCKoEAOnTogJubW4E2UVFReqdxCoqPu7s77du31/ngfPfuXRISEgymw2CRYH15/PixzmUKQelTmM8wPj6ex48fG1CN4GVH3+stMTFR3KheUPT9DLVaLQ8fPiQtLc3AigSCbA4ePKizTvAXX3xBr169SkeQgDfffBM/Pz+dmQC1atXSWdmjOBjECd6yZQseHh56RYO3bdvG0KFDDSFDUAzUajUeHh5s2bJFp+24ceNYu3ZtKagSvKzUqFGD5cuX67QbMmQIO3bsKAVFgsLy8ccf62yDCuDk5MTRo0dp1KhRKagSCLL3Kd28ebNAm+rVq9OwYcNSUiR48OABq1ev1ukntmrVCldXV4PpMEhyXXp6OqGhoXrlhzVr1swQEgTFRCaTERoaqld1iCpVqlClSpVSUCV4WdG3XniFChWoUKFCKSgSFJbExES9qkMolUpat25teEECwRPeeecd5s+fj5eXV742H3zwQSkqEpw6dYoRI0YwYMCAAvcU+fn5GVSHQSLBb775Jv7+/npteJsyZYrOhHVB6SOXy/H399crsrNt2zYmT55cCqoELysHDx5kwIABOu3279/PuHHjSkGRoLBMnTqVFStW6LRLTExk6NChoqKMoNSYMWMGDRo0KNDmwoULelVDEpQMtWvX5qOPPtK5qX7r1q06o/jFocybZVSuXJlBgwbxzTfflKUMQTGYPXs2q1atEnnBAoPz008/8fnnn5OUlFTWUgRFJDo6GicnJ3bt2kWPHj3KWo5AAGQ/xO3fv58bN26UtRTBU1hbW/P5558zZcoUg4xvkEjwqVOnGDhwoF5tMadOnSoqC7ygDB48WK+liHbt2olaz4JiMXbsWHbt2qXTrnnz5nz66aeloEhQWNasWaPXPGBhYcFXX31FjRo1SkGVQADTp0/n8OHDBdq0bt3aoKW4BM9y8eJFJkyYQHp6eoF2kyZNMmiutkEiwZs3b2bgwIEkJydjaWlZ0sMLSgkTExN+/fVX3nvvvbKWInjJcXJyYvLkyXz88cdlLUVQRKZMmcKBAwdEJE3wwmFnZ8esWbNEsOYFwtfXl379+hEfH4+trW3u63///TcbNmxAo9HQp08f3nrrLYPqMEgkuF69enz//feYmJjotN28eTOnT582hAxBMZk7dy5NmzbVaXfhwgWDtjUUvPx89tlnem2Wun79ul5VJASlT7du3Zg6dapOu8zMTJYuXcr9+/dLQZVAkL1KoSv1Zu/evXz99delpEjw+uuvs23bNszNzXNf27hxI507d+bixYvcvHmT3r1706VLFw4dOmQwHWWeE+zl5UXXrl2ZP39+WcoQFINvvvmGX3/9lcjIyLKWInjJ+f3335k8ebJeqVaCF5OkpCRsbGzYvHkz/fv3L2s5AgEAs2bNYuPGjaItexni6elJkyZN2LJlCzKZjLFjx7Jy5Uq++OILZs2aZZBzGiQS/ODBAxYuXKgz1wOgZcuWVK9e3RAyBMVk6dKlXLp0Sadd1apVadOmjeEFCV5aVq1axdmzZ3XaVahQgQ4dOpSCIkFhOX36tF4rQiYmJnTu3BlnZ+dSUCUQZFesWrlyZYE2AwYM4Ndffy0lRYITJ07QpEmT3GZpkiQRHR1NixYtkMvlyGQyWrZsiUajoXPnzgbTYZBI8M6dO3nrrbeIjo7GwcGhpIcXlBJWVlZ89dVXfPjhh2UtRfCS4+npyahRo/jiiy/KWoqgiHzyySds3rxZpDkIXjhcXFyYMGGC2FT7AvHXX3/RvXt3IiIich+ImzZtSmJiIrt27UKpVNK7d2+Sk5O5c+eOwXQYJBLs6upK9+7dMTbW3Yvj/v37hIWFGUKGoJh06dKFSpUq6bSLjY01aB0/wctPhw4d9FoRio+P5/r166WgSFBYvLy8aNu2rU47rVbL9evXSUhIMLwogQAICAhg0qRJBdqsXLnS4JuwBP+nXbt2PH78+JlA6erVq0lNTaVGjRpUrFiRkJAQPDw8+PPPPw2mo8xzguvXr0+zZs1YtGhRWcoQFIOffvqJL774gsTExLKWInjJWbFiBaNHj0ar1SKTycpajqAIZGZmolQqWb16NcOGDStrOQIBAF9++SVLliwRQbkyJi4uDn9/fzQaDc2bN6dRo0aMGDGCL7/80iDnM0gkOCkpiUuXLpGZmanT1sLCQq8qEoLS59q1a3ptdlMqlc/s8BQICsvNmzf1uvkoFAosLS119psXlD4RERFcu3ZNp51cLsfS0lJnpyiBoKSoXLkyc+bMKdBmwoQJnDp1qpQUCfz8/DAyMnquyVa5cuXo0aMHb731Fk5OTpw4ccKgKZkGa5ZRv359oqKidNr6+/vz888/G0KGoJi0adNGrzao77//PuHh4aWgSPCy0qNHD3755Reddm+//TbJycl6pVoJSpdly5bRqVMnnXbGxsYkJyczZMiQUlAlEGTXCTYzMyvQply5clSsWLF0BAlQKBQ4ODjoXNGrUKEC5cqVM5gOgzjBCoUCOzs7QwwtKEXs7OxQKBRlLUPwCmBra4upqWlZyxAUA3Nzc6ytrctahkDwHIGBgXz00UcF2vz444+4ubmVkiJBq1atiIyMxNPTs0C7WrVqGaw8GhjICW7bti1xcXF4eHjotO3YsSMTJ040hAxBMblz545exe///PNPUe5IUCzOnz+vV2UIX19f7Ozs9Cq/KChdpk2bpvcGWXt7e1atWmVYQQLBE27cuEFISEiBNiYmJuJBvBRJSUnhwoULZGRkFGhnZmZm0JU/gzjBhSElJYXU1NSyliEoBpmZmcTFxZW1DMErQFZWFgkJCWi12rKWIigGiYmJouGJoNTo1auXzhrAkyZNEo0ySpHAwEAaNmxIcHBwgXYBAQEGLZ1pECf4xIkTWFhY6HVBrV69WtQGfUGpUaMG33zzjU67fv36ERgYWAqKBC8rPj4+TJ8+Xadd586duXTpkojYvIAsWLBA59JmDhcuXKBv374GViQQZNOmTRtee+21Am1iYmJE+cVSxN7enq5du+rM1b57965B9xwZJMYsSRJpaWl67eCuVq2aISQISoD09HS9ojUODg6iKYqgWKhUKr2uNTs7O7Hf4AVFrVaTkpKil23dunUNrEYg+D9Lly7VabNu3To+/fRTva9hQfGoXbs2f/31l067Xr160bFjRxYsWGAQHQaJBDds2JDr169Tvnx5nbaffPIJ8+fPN4QMQTE5fPgwEyZM0Gnn5+dHt27dxBK1oMhs376dTz75RKfdqVOn6NatG8nJyaWgSlAYRo4cyZkzZ/Sy7du3L7t37zawIoEgG19fX53lzypUqKBXsxdByRAVFcWyZct0plI2b95cr0ZKRaXMm2W0a9cOZ2dnNmzYUJYyBMVg5cqVjBo1CrVaLWp/CgzKjh076N27NzExMdjb25e1HEERsbS05OuvvxYt2QWlQp06dWjbtq1eZRgFpcPZs2dp2rQpV65coU6dOmWmwyCR4Fu3btGpUycePXqk03bSpEmMGDHCEDIExWTUqFF6tSts2rQpCxcuFB28BEVm0qRJet2gvL29WbhwoWjO8gKyc+dOevTooZftTz/9RJs2bQysSCDIZvz48XTu3LlAm1u3brF69epSUiTw8PBgzpw5ODo6Fmi3e/dugzYxMUgk+Ny5czRp0oTLly+L3K//MDVq1KBnz5788MMPZS1F8JLTpEkT6tWrx7Jly8paiqCI/Pbbb8yYMUOUrxP8J1myZAkTJ04kKyurrKUInqJhw4b4+PiwePFig4xvkEhwxYoVWbZsGe7u7jptt2zZwvbt2w0hQ1BMvvrqK/r06aPT7saNG3z33Xdi8hAUmY8//pi3335bp939+/f57rvvxOaVF5A2bdqwcOFCvWx//vlnvfOHBYLi8s0337B27doCbRo0aKCzoYag5Hj8+DFjxozRmTEwevRonVH84lDmOcFdunTB1NRUOML/YTZu3MjgwYNJTU0Vy9QCg7J//366dOlCaGio6O70H8be3p4ZM2Ywc+bMspYieAXw8fGhfv36elWJEJQOly9fxtvbm3PnztG4ceMy02GQSHBERARfffUVYWFhOm1bt25NixYtDCFDUEyWLl3K33//rdOuYsWKDBo0CLm8zHuvCP6jrF69ml27dum0c3NzY9CgQSiVylJQJSgMFy5c4Ouvv9bLtk+fPjrrtgoEJcVPP/2ks9LR6dOnGT9+vKhyVEpUqlSJv/76S2eZ3Pnz5+uM4hcHg0SCXxQPX1A86tatS5s2bcSOWoHBeeONN6hYsSJr1qwpaymCIvLHH38wbtw44UQI/pOsWrWKkSNHiipHLxg5JdJWrlxpkPENErorV64cw4YNo1y5cjptb968Kbq0vKD06NGDRo0a6bSLjY3F399f5AQLikznzp1p3ry5TruEhAT8/f119psXlD7Vq1dn6NCh6BNXOX/+PI8fPy4FVQJBdg3r2bNnF2jTpk0bduzYIaoclRIPHz7E29ubS5cuFWg3d+5cJk6caDAdZZ4T3Lt3bzIyMti3b19ZyhAUg5zarbGxsXo9+AgEReXo0aO0bduW+/fvU7ly5bKWIygiHh4ejBkzhjlz5pS1FMErQMuWLalcubIogfYCcfv2bV577TVOnDhRpimxBokEp6WlcfToURISEnTaOjo6iqL3LyiBgYHcunVLp525uTmenp6loEjwsnL58mWuXbum087MzAxPT08RrXkBiYiI4OjRo3qlQ7i7u2NlZVUKqgQC2LVrF7/99luBNgcOHKBx48ZilamUqFKlCpGRkfj4+BRo99577/Hpp58aTIdBIsE5Hv7x48dp2bJlSQ8vKCV8fHzw9vYWtVsFBqdjx47Y2tqyZcuWspYiKCJr165l2LBhqFQqFApFWcsRCHLRaDQABeb65lQ5SklJwcLCorSkvbJIkoRGo0Eulxe4qb5du3Y4OTmxceNGg+gwSCRYqVRSuXJlvSfCMs7IEOSDh4eH3lF6SZLE5ygoMm5ubjo7B+UgrrUXEysrKypXrqz3xjjxGQpKi44dO+qsQ96zZ09CQkIwMzMrJVWvNo8ePcLExISjR48WaLdp0yYWLVpkMB1lnhM8ePBgIiIiOHLkSFnKEBSDffv20bVrV0JCQvRqkCIQFJVTp07RvHlzrl27Rq1atcpajqCIVK1alX79+jF37tyyliJ4BRg8eDB2dnYGdaYEhSMkJIRmzZqxfv36Ms0YMDbEoJIkkZWVhbGxsc7asTKZTEQEXlDUajUAxsYFXyY5n7H4HAVFRa1WI0kSJiYmBdqJa+3FRavVolarMTEx0ZmzLeZ9QWmyYcMGnTbbt2+nT58+xMXFYWdnVwqqXm08PDz0qhDTpUsXzMzM2LZtm0F0GCQd4vHjxyiVSg4fPqzT9pdffmHTpk2GkCEoJm3atGHUqFE67Vq1akVQUBAuLi6loErwMtK7d2+9WnTXr1+foKAgqlevXgqqBIXB19cXpVJJUlKSTttjx46JFrWCUuPWrVs6N3mbmZnh4uIiHs5KiczMTE6fPk18fHyBdnZ2dtjY2BhMh0EiwYWJ1jg4OBhCgqAEkMvlen2GZmZmlC9fvhQUCV5W5HJ57uaVglAqleJae0EpzLwv0qYEpcnUqVNRKBTs2LEjX5s333yT8PDwUlT1ahMTE0OzZs3Yu3cvXbp0yddu/fr1BtVhkEiwm5sbYWFhtGrVSqft3Llzeffddw0hQ1BMtm/frrOsDGSXUmvevDmhoaGloErwMrJixQq9anjeuXOH5s2bc/v27VJQJSgMXbt2JSwsDGtra522Q4cOFZ0oBaVG8+bNadq0aYE2iYmJBAQEiKZPpYSZmRm9e/fGycmpQLv79+9z9+5dg+kwSCTYyMgIV1dXvWzv378vOsa9oOhbGSI5OZlTp06Rnp5uYEWClxV9m6ykpaVx6tQpkpOTDaxIUFjMzMz03ll/6dIl0VhHUGp88sknOm38/f3p1q0bYWFhevsvgqJjZ2enV57vtGnTyMrK4q+//jKIDoNEguPi4vDx8eH48eM6bceMGcPnn39uCBmCYjJp0iQ+/vhjnXZeXl6sX79e5xOdQJAfn3zyiV6tMStUqMD69eupVKlSKagSFIYTJ07g4+NDXFycTtvvv/+eYcOGlYIqgSC7gtHu3bsLtHF2dqZ79+4olcpSUvVqk56ezq+//sr9+/cLtPPx8aFx48YG02GQEmnR0dE4OTmxc+dOevbsWdLDC0qJzp07Y2VlxdatW8taiuAlZ+DAgcTGxuLn51fWUgRF5K+//qJ79+6Eh4eLTbKCF4o+ffqQlpbG/v37y1qK4AlxcXHY29uzbds2evfuXWY6DBIJtra2ZuvWrTRq1Ein7c6dO0Vu2AvKrFmzmDJlik67oKAgZs6cSWRkZCmoEryMfPjhh3z22Wc67aKiopg5cyaPHj0yvChBoWjYsCFbt27Vayf3b7/9xvbt20tBlUAAQ4YMYcSIEQXahISEsGTJEpFqVUqYm5szd+5cnfXeDx06xJ49ewymo8ybZbz//vucOnWKixcvlqUMQTE4c+YMr7/+OlevXqV27dplLUfwEnPr1i28vLw4ceIELVq0KGs5giLSqFEjGjZsyNKlS8taikAAwOHDh2nfvj0PHz6kYsWKZS1H8ISBAwcSExPDoUOHDDK+QSLBGRkZTJkyhUuXLum0feONN+jXr58hZAiKyYoVK/jzzz912rm4uDB+/HhRYFxQZDZu3KhXJRI7OzvGjx8vlttfQO7cucOUKVP0ygnu16+fXtWDBIKSYPHixXz33XcF2lSuXJkvvvjCoDVpBf9HpVIxbNgwTp8+XaBdv379GD58uMF0GCQSnJSUhI2NDZs2bWLAgAElPbyglOjZsydardagSxECAcDw4cO5f/8+/v7+ZS1FUEQOHTpEhw4dRCRN8MIxZMgQwsPDOXLkSFlLETwhLS0NCwsL1q9fz+DBg8tMh0EiwUqlkg8++IBq1arptL1+/TpHjx41hAxBMenevTvdu3fXaZeYmMiePXtISEgwvCjBS0nHjh31WhFKS0tjz549REdHl4IqQWEoX748H3zwAVZWVjptT548KVLgBKXGRx99xLx58wq0uXv3LqNHjxYNM0oJpVKJn58fbdu2LdDuzz//1BnFLw5lnhM8depU9u3bx82bN8tShqAYXLp0ifr16xMQEEDDhg3LWo7gJebRo0dUqlQJPz8/2rdvX9ZyBEWkZcuWVKlShVWrVpW1FIEAyH4wa9GiBTdv3uS1114razmCJ4wYMYJ79+4ZbJXQIJFgjUbD9u3bCQoK0mnr5uZG9erVDSFDUEzOnTun14Vnbm5O3bp1RX1FQZG5ePGiXkuVSqWSunXrYmFhUQqqBIUhJiaG7du367W7vmrVqnh4eJSCKoEguw75kCFDCrSpWbMm+/btE9dlKaHRaPDy8iqwlTXAlClTmD9/vsF0GCQSnJmZiVKpZPXq1aIg+n+YAQMGEBcXJ2q3CgzOuHHjuHDhAufPny9rKYIi4u/vT8uWLUUkTfDCMWrUKG7dusWpU6fKWorgCVqtFiMjI1asWMHIkSPLTIfB2iY3bNhQr2oB6enpqFQqbG1tDSFFUAyqVKmiV2tTjUZDUlISlpaWmJiYlIIywctGxYoVSUtL02mn1WpJTEzEwsIChUJRCsoE+mJlZUXDhg31+lxSUlIAsLS0NLQsgYCFCxei1WoLtLl27RqDBw9m69at1KhRo5SUvbrIZDLi4+MxNzcv0O7LL7/k1q1bbNiwwTA6yjoneNasWWzYsIGHDx+WpQxBMRC1WwWlRUREBK6uruzZs4du3bqVtRxBEenQoQP29vZs2rSprKUIXgEyMzNRq9UFOlwBAQE0btyYixcv4u3tXXriXmFSU1NRKBQFBs/effddAgICCAgIMIgGg+QEQ3ZnJ30iO3K5XOcTmqBsSEpK0qvmp0wmAxCfo6DIJCcnExsbq9NOXGsvLllZWURGRpKVlaXTViaTic9QUGpMmjSJN954o0CbevXqER0dLRo+lSI2NjY6exHMmzfPYI0ywIBOsKurK+vWrdNpN2vWLK5fv24oGYJiMHHiRHr27KnTrmrVqiQlJdG8efNSUCV4Gfnss89o3bq1TjtHR0eSkpLo0qWL4UUJCsXly5dxcXHRaz7fsWMHq1evLgVVAgE4Ozvr3PBmbGyMtbU1crnB3CLBv6hevbrOkorm5uY6UyaKg0FygkH/J31TU1NDSRAUE30/QyMjI71qgwoE+aHvtSaXy8W19oJSmCi9qO4hKE2++OILnTbXrl2jbt26nD17Fh8fn1JQJbhx44ZOm8mTJ3Ps2DGuXLliEA0Ge+RJSUlhzJgxOu2WLFki2me+oCxbtkyvRiahoaHUrFlTZ/tDgSA/fvjhBy5cuKDTLjk5mZo1a3Lw4MFSUCUoDPXr1yc9PV2vfMrx48czYcIEw4sSCIB79+5x7ty5Am2USiUVKlQo8ubuzMxMkpOTyczMLNLxryInTpwgJCSkQBt7e3tcXFwMpsFgkWB9I7yxsbHcvn3bUDIExUDf3fdqtZqbN2/m7vgWCAqLvjceSZK4efMmiYmJBlYkKCxyuVzveV/XjU8gKEkWLlzIoUOHuHbtWr421atX59GjR3qPmZmZyY4dO9i+fTtnzp3j8VPHVqxcmaY+PvTt25cePXoYtGpSWloaO3bs4PTp0wQEBhITF4dcLqeCpyc+jRvTtm1b2rRp80KmeXTu3Jlvv/2WDz74gAMHDrBt2zZkMhkDBgygXbt2AMyZM8egGgxWHaJu3bpMnTqV4cOHF2h3//59Hj16lPsLC14cZs+ezbVr19i+fXuBdunp6Rw7dozGjRvj4OBQSuoELxPz5s3j77//1rkBQq1W4+fnh7e3N66urqWkTqAPd+7coWvXrmzdulVnNDgwMBBAdJgUlApr167l6tWr/PDDD/napKenc+HCBWrXro2NjU2+dpIksXz5cj759FNioqIwr1gRk/LlUbq5IVMokFQqVOHhZAUFkRYUhLOLC99/9x3Dhg3LTRkqCZKSkvjyyy9Z+scfpCQlYebigpGbG0ZWViBJaGJjyQoJQZWYSOWqVXlv3DiaNWtGhQoVcHd3LzEdmZmZnDx5koCAAG7cuEFGRgampqZ4eXnRqFEjWrRokW9AbeTIkfTv35+oqChGjBhBzZo10Wq13L59m40bNzJgwAAePXpEbGysweYKgznBlpaWfP3113z44YeGGF5QCrz33nucP3/eYKVJBIIcPv74Y7Zs2cL9+/fLWoqgiNy4cYNatWpx6tQpXn/99bKWIxAUijt37lCjRg3++eeffCtJxMTEMGjwYA75+WHduDE2bdqgLOBhXBUaSsKRIyRfuECXrl1Zv25difREOHz4MMOGDycqNhbLZs2wadYME3v75+wkSSLjwQNiduwgMywMSZKQyWR89913zJgxo1gaYmNjWbBgAUuWLSM2OhpjpTL7b6FQQFYWqvBw1BkZ2Ds4MG7sWCZPnpxnkEySJOzt7enSpQtr1qwBoH///pw6dYqwsDBmzJjBrl27DJYxYLB0iL/++ovKlSvrtDt48CD79u3j559/NpQUQRH54IMPSEpK0mmXlJTEtGnTmDBhAnXr1i0FZYKXjdGjR9O9e3eddllZWbz//vuMGjWKpk2bloIygb5UqFCBQ4cO4eXlpdN26dKlpKeniyCJoFQ4fvw4d+7c4Z133snXxsrKir59+2KfhzMJEB0dzRutWvEgJATXsWOx0OM6V7q74zx0KJb16+O3eTNvtGrFP8eO6dVILD82btzI20OHYlalCu6jRmFSQEOrnMizKjSUDz74gBEjRrBx40ZmzpxJvXr16NSpU5E07Ny5kzHjxpGQlIRFo0Z4Dh+OwtUV2VMpF5JWS2Z4OElnz/LDggUs/eMPli1ZQu/evXNtFi5cSP369YmPj6dt27a5KRtt2rRh586daLVa6tatS0ZGRpF06kOZN8v48ccf+eqrr0hISChLGYJiEBUVhbOzM7t379bLkREIikpOS/Y1a9YwdOjQspYjKCL9+/cnISFBbHAUlAofffQRvr6+3Lt3r0jHazQaWrRsyYUbN3AZPx6Fk1Ohx1CFhxP5++808/HhsJ9fkXJ0Dx8+TMdOnbBs0ADHAQOQGRnpPCbOzw/1qVPEx8Yil8uRJAkXFxfefvttfvzxx0Jr+Prrr/nss8+wrF0bh759MS4gdSQHdVISMb6+pFy9yhdffMHs2bOB7E1vM2bMYMWKFVhbW7N79240Gk1uI6RLly4VWl9hMVim9IQJE9i7d69OuyZNmjB16lRDyRAUgw0bNvDpp5/qtLOwsGDWrFlUrVq1FFQJXkZ27tzJlClTdNoZGRkxa9YsUdD+BSQqKoqRI0dy69Ytnba9e/dm0KBBpaBKIIBu3brxySefFGiTlJTEL7/8wuPHj5977+eff+bMmTM4DhtWJAcYQOnqisPbb3PsyBGWLl1a6OMTExMZNnw4ZlWq6O0AA8iVStJSUwkLCwOyv6dJSUkcPny40Bp+/vlnPvvsM8q9+SbOo0ZhZGWFJj0dbUYGUgGlEY2trXEeOZJyXbsyZ86cXOf766+/pm3btrldg93c3PD09CQiIiI3NeL06dOsWLGi0Fr1xWCRYAcHB6ZNm8ZHH31kiOEFpcDkyZPx8/MrcEetQFASfPHFFyxbtozQ0NCylvKfRqPRIJfLS3QDjr48ePCAKlWqcOTIEdq0aVPq5xcIisPjx4+pUKECf//9Nx07dsx9/dixY3To0AFsbDAyM0PSapGbmaF0d8e0QgUsatVCrlTqfZ6oLVuQrl8nPCysUPWyp02bxi+LFuE2ZQpZMTFkBAWRGRqKJj0dmUyGcblyKD08MK9eHYWzc+5xmpQUwn76CXtzc97s3JmDfn5ExMSQlZbG4cOHadu2rV7nv3z5Mg0bNcK8fn2MLCxIf/gwO8/4SYdImVKJ0sMDs8qVsW7aNN80jZg9e0g+fpyA8+ef2UAbHh7OsWPHkMvltG7dGucnv8Nnn33G6tWr83w4KQkM5gT/8MMPvP7667Rs2bJAu1u3bhEYGMiQIUMMIUNQDP7++2/u37/P+PHjC7TLzMxk06ZNtGrVigoVKpSSOsHLxD///ENgYKBe0eA1a9bQtGlTqlevXgrK/htcuHCBKVOm8M8//+Dg4MCkSZOYNWtWqZZFio+P59dff2XYsGFUqlSpQFt/f39SU1OLnJMoEBSGrVu3cvToUX7//fd8bZKSkliyZAn9+vWjUqVK7Ny5k6++/poLgYHITExQli+PwtERmZERmpQUVKGhZMXEIDc1xapJE8p17AiSRPyhQ2TFxWFib49dhw4YmZk9c56suDgef/MNSxYvZuzYsXrpT01NxdnVFY2DA1lxcWgSE5FbWKD08MDY0hJJqyUrOhpVeDhoNJhVrYptu3ZYvPZa9jnj44ndvRspLg6ZnR3lunUjeuVKOvr4sHPHDp3nlySJWrVrc/vBA7QZGRhZWmJeowZKT0+MrK0BUMfFoQoJIe3WLbQqFZb16uHw1lsYP3k/dyy1mvBffqGqvT2vN21K+/bt6du3b77n9vf35+rVq7z33nt6/a0KS5nnBC9cuJBp06YZNPFZYFgSExOxtbVl69atBV7MAkFJIJPJWLZsmV7NeP5NVlYWN27cIDQ0FI1Gg5WVFXXq1Ml3M8x/gYiICLy8vChfvjzjxo3j1q1bLFq0iNmzZxu8xmZRGTZsGEFBQfzzzz9lLUXwCvD555+zfPlyvepTx8XF8d5777FlyxYsqlfHumVLzGvWfGbTVw5ZcXEknjpF0smToFBgYmSEQqulcaNGnD13Dq21Na4TJz4XKQ7/4w/qOzhwQs/r//PPP+eLr75CJpdj1bgxNs2bo3Bze27FR1KrSblyhcQTJ8h49Airxo1xeOut5xxxgER/f2J37CAiIgJHR8cCzz99+nTm//gjxnZ22HftimXdusiM866roFWpSA4MJG7/fiStFqeBA7GsU+cZm7S7dwn7/Xfs7e2ZOHFimc5TBqsOsWnTJmrUqEH9+vULtHN3d6dFixaFGjsrK4vLly8TGBjIjRs3SE1NxcTEhIoVK9KwYUMaN25cYJ0/Q5GSkkJgYCCBgYHcv38flUqFmZkZNWrUoGHDhtSvX79M2kRHR0dz/vx5AgMDn7v5N2zYkNq1a+cZMTp//jwPHz6kf//+BY5vYmJCq1at/tOOhKBsuXz5MlevXuXtt9/Wadu6detCdRBKS0tj06ZNLP/zTwIDAvLs6OTu6Umft95i/Pjx1KhRo1Day5q1a9eiUqk4cuRI7ndQJpPx66+/Mnv27FJLjUhNTWXTpk107NgRT0/PAm29vLxKpFSUQKAPI0eO5M033yzQJjExkVGjRhFw4QLh0dG5VR0K+v6YlCuHQ7du2LZoQejixWjj4wm8fp1q1apx7do16nl7kxwYiE2zZs8cZ1q5MheOHUOr1epcrdm+fTtffvVVdqWJIUOeSXX4NzJjY6waNMCyfn2Sz50jZudOVKGhuL37Lsb/ajdv/tprRGu1BAQEFPi3+f7775k/fz7WzZrh0KOHztQPuVKJTbNmWNatS9SWLUSsXInzkCFYPVXn16xqVcxcXfGuWZMRI0YUON6uXbs4ePAgixYtKtCuqBgsEuzh4cGYMWNK1MMPCwtjyZIlLFm6lOioKGRyOWbOzsiUSlCrUcXEoM7IwEShYMCAAUx4/32aNGlSYufPj6tXr7Jo0SLWrF1LeloaRgoFpk5OYGyMlJlJRlQUWrUaa1tbxowezfjx4/UqH1ccJEni0KFDLFy0iL/27EGr1WJiYYGiXDkwMkKblkZ6dDRIEuUrVGDC++8zevRoyj2Vx1PcHbUCgb589913zJ8/n5iYmBIbU5Ikli1bxoyPPiIpMRFLLy9Mq1dH6eGRXVNTLkebno4qNJSMR49Iv3yZzKQkevbqxeLff//PNOOYOnUq27dv5+HDh7mvLVu2jHHjxqFSqfTu/JgXWq2WuLg41Go15ubmWP9rafNpQkND8fDwYN++fTodDoHgRSMoKIiKlStjYmWFaxEqQMT89RemN24Q/mQDGoBduXLImzbNTpV4irRbtwhbupT79+8X6AscO3aMDh07YlqzJs5Dh+q9GS4HVXg4YYsXY2xtjfsHHyB/qnOdJEk8/uwz5nz8MbNmzcrzeF9fX/r164ddp07Yd+5cqHNDdpm0qM2bSQ4IwH3iRMwqVsx9L3bvXoyvXiUqIqLAMb755ht+/fVXIiMjC31+fTBYJPiNN97QmRcGkJycTHR0dIEXglarZfHixUyfMYMsrRaLhg1xHzgQpbs78qcm+Jy8mNTr1/Hdv591a9cyfMQIfl6wwCBRh7S0ND755BN+/fVXFDY2WLRsiUPduiicnZ+5WCW1GlVYGCmXLvHr0qX88uuvfD5nDjNmzDBIO8WwsDDeGTOG/fv2Ye7ujn3v3pjXqIGxvf0zT7XajAwygoOJP3eOjz75hG+/+44lv/9O//79kclkVKtWjWb/eoLNC61Wy6NHj3B0dMTqX0+bAoE+VKpUKd8C9f/m4cOHlCtXrsDVnsjISAYNHszRI0ewbtKECu3bY5JXN0NraxTOzlg1aIDUowfJFy6wf98+anh58ecff9CvX7+i/ko6SUxMZPv27Zw7d45zAQFERkUhSRJ2trY0atCARo0a0atXLzw8PAocp3Xr1vz0009s2bKF/v37Ex8fz5IlS2jWrFmRHOB79+7x559/ctzfn0sXL5KWmpr7noubGz6NGtG1a1cGDx6MpaVl7numpqa0b9/+mQfp/IiJiUGlUpVo5yqBID9+//13Vq5cyfnz5/O1+eWXX5DL5biMHVukChCmHh5EHD7MokWLGDx4MCtWrCAhPh7XPK5x+ZP0hFOnTnH06FHS0tJyu6x5e3tjaWlJUlISbw8dirJChSI5wJBdkcJt3DiCFywg7sABHJ4qYSqTyTCxsuL27dvMnj2b8wEBXLt+nfT0dJSmplSrXJmz589jWa8e5YqYuy+Ty3Hq35/MyEiiNm7Ec+rUXJ9N6elJxKFDfPrpp7Rp04ajR49yPiCAxyEhSJKEk6MjjRo0oGrVqmzcuLFI59dLY1nnBC9fvpwxY8ag1WrzXHZITk6md58+HPLzw6Z5c8p17Zpnfsu/kbRaks+dI273bhxsbdm/b5/OVp6F4f79+3Ts1Img4GBsO3fG9o039LpItZmZxPv5kXDkCA0aNGD/vn0683EKw6FDh+jdty8qoFyfPljUrq3Xcqg6KYnYHTtIvnSJIW+/zcoVK/R20FUqFaampqJ2q6BUMDMz44cffmDixIl5vh8WFsYbrVoREh2N/cCBmD/ZHKIvmtRUYnx9Sb50iaVLl+q9eUVfgoKC+Pbbb1nzJI0hp92psa0tyGRoUlLQhIWRHhoKkkSPHj34dNasfNuGajQaBgwYwLZt26hSpQrh4eEYGxvj5+eHj4+P3rpu3rzJh5Mnc/Dvv1FYWqKoUgWlpycmjo7I5HK0KhWqsDCygoNJu38fcwsLJowfz+zZszE3Ny/U32Ds2LFcvnyZs2fPFuo4gaAozJ07l59++ono6Og837927Rr16tXDrksX7Nq1K9I5JEkiZvt2Ev39c1+zbdMGhx49nrFJv3OHuIMHyXjwIPd1uYkJ2pwqCzIZ7Tt0wNzMjL0HDuA+fXqe3eAKQ/yhQ8Tu24fn9Om5He7SHzwgfOlStJmZKCwtMSlfHhMXF+SmpkiZmaRcuIAmLY3yn3zyXCpFYcmMjOTxvHnYd+uGXevW2ed//JjQBQuwtLIiJTkZpY0Nxu7uGJcrlz0PJiVlz4PR0ZRzcOD9997jo48+KvRcowuDRYIfPHiAlZWVTgfPyMgIIyOj3HZ+T5OSkkL7jh25cPkybu++i3khcvVkcjnWTZti/tprRK1axRutWnH8n39KxBG+f/8+zZo3Jwlwnzq1UE+NcoUC+65dsahdm6srV9LyjTfwP3Eiz3aCheXgwYN0694dZZUquA8ZglEhyq8YW1vjPHw45rVrs3HTJpKTk1m6ZAkpKSk66//K5fLcz1AgKArx8fFER0frVfGhoIeztLQ02nfoQEhsLC4TJuQd/dWBkYUFTkOHIre05N1338XZ2ZmePXsWepx/k5OeMWXqVDTGxli0bo1Lkyb5FpvXZmSQHBDA36dOsbtJE2bOmMGcOXNQ/isnz8jIiM2bN7Nv3z4OHz6Mi4sLw4YNw83NTS9dWq2WefPm8dns2RjZ2eE0aBCW3t7PrLLlkJPXl7MhaP6CBWz19WXtmjX4+Phw79493N3dda4IGRkZlUkZN8GrybRp0wqsPLNo0SJMrK2xfeKgFQWZTIZjnz5YNWpEwvHjpFy+/IxDnRUfT9TmzaTfvo2JiwsOvXphWqkSSjc3ZMbGSBoNmRERZDx6hP/Zs6SHhGDXrl2xHWDIdsYT/P1JPHECx969ifnrLxKPH0fh5ka59u2xqFPnmSCeVqUi0d8fmxYtiu0AAyicnbGsV4+kU6ewfeMN1AkJRG/dmv1mlSq4t2yJaaVKec4JmZGRJJ48ybfff8/6DRtYt3ZtibZlN1gkuGrVqvTr14+5c+cWeYyBAweybfdunN95B5lcTlZMDJJajczEBBMnJ5SurvnuUHwabUYGEYsXY5WVxc3r14vVsjAjI4N63t48jo/HcdQoNImJqBMTQatFrlSicHXNjZzoIjMqiohFi2jaoAFHDx8uVjmjhw8fUrtOHWQVKuDQuzeZERFoUlNBkjCysEDh7o6xra1eN57U69eJXLmSpk2aEBQUpNeOWoGgOPzyyy/MmjWLlJSUYo0zdepUfvntN9wmT86NeBQVSaslctUqFOHh3Lpxo1grNmq1mlGjRrF27VqsmzbFvkcPvVa0ACSNhvgjR0g4eJDGjRpxYP/+Ekvv0mg0jBw5krXr1mHbujXlOnfO0/nNj8yoKGI2bSIrNJTlf/zB8OHD2b59O2+99VaJ6BMISoKMjAzS09PzvPerVCrsypXDtEUL7Esol12TksLDzz/HoUcPbN94g7S7d4lYsQKZUolj376Ye3khL2DlOOnsWaI2b6bCZ59hUgx/5WniDhwg/uhRTCtXJv3uXey7dsW2Vas8fZWUS5eIWL06+/x6pDfpQ/q9e4QuWoTz0KHE7NyJzNgYh969Ma9WTa86y0/PNdt8fUusO63BIsFmZmYYFSGHJYeNGzeyefNmTBwdCV20CPLqRmJkhFnlytg0b5697J/P+eSmpjiNHEnovHl88MEHuZ1IisKMGTO4e/cuRnZ2BH/3XZ42MqUSi5o1sWneHNPKlfN1PBVOTjgMGcLxxYtZsmSJznq8+aHVahkwcCAqjQZCQgj6+us87YysrLCsXz+7vEoB0WuLWrWw7dyZ0/v2/Wc2Bwn+25iYmDwX4SwsAQEBLFiwgHLduxfbAYbs1SSHfv0I/eEHJk+Zwrq1a4s0jiRJjBo1inXr12Pbrh1GZmbE+/mBTIaRuTlKDw+UHh75rtzIjIwo16ED5tWrc2H5cjp27szRw4cLVWg/P95//33WrluHdfPmIElEbdkCkoRcqUTp7p6tzdMz34d6hZMTruPHE7V+PaNGj0ahUIgIr+CFY9GiRXz55ZckJiY+9961a9dIT0vD3surxM5nZGmJafnyZAQFkXzxIpHr1uWmGUT8+We2jZUVSk9PzKpUwdrHB6On8uvTHz5E4eZWYg6wOjkZTXo6UmYm6XfvIjMyIt7Pj+Rz57IbXFStimX9+rkPwBmPH2NsZ1diDjCAacWKYGRE1NatGNvZ4Tx4MBGrVmFWrRpO/frpDBzmzjVr19Knb1+O//MPTZs2LbauMs8J3rZtGxMmTODRo0e5N8GNGzfy9tChaDUazGrUwLJuXZSentkbzp5UXMiMiCAjOJiUixfJePgQ43LlcOrfv8CUiaSzZ4natIlTp04VOpyuVquZOXMmPy1YAHI5Vt7emL/2WnbO3L93mgcFkXz+PFnR0ZhWrIjTwIEFljWJ3rqVrMuXCQsNLXRpt4SEBN56663sTitmZlg1bozZk1y+nCLVmuRkVCEhpD94QPL582hSUrJ7j/fune+NV9JoCP/tN6qXK5ddLFzHjc3NzY158+aJpicCg+Pl5cXEiROfe2gcPGQIOw4dwn3mTL1WYvQl4fhx4nbvJvjxY71TDHLQaDRMnDiRxUuWwJOpVm5qmnvDUycnI6lUIJNh/tpr2DRvjrmXV776Mx4/JuL33xkzalSBhf91oVarmTFjBgt+/jlXl3G5chjb2SGTydCkpZEZEQFaLcZ2dlg3a4ZN06bP3KifRtJoiFi2DMukJG7dvKkzUv3pp59y+vTpIrVuFQgKy5o1a1i0aFGeOejLly9n7LhxVJo7t1CrILqI3LCBlCtXkFQqZEol5tWq5d6XJZ40lwgOJv3ePSRJwtrHB/vu3TEyM+Px/PmYenjgNHBgsTSok5OJ3b2b5IsXkclkKD09Ma1QIbvBhVZL1hMNqpAQ5Kam2LRogV2HDkSsXAlyOW7vvFMyfwyyV+SDvv0WTWoqMhOT7HnvCTKFAqW7O5Z162Ll44NRAXm/klpN+KJFuBobc/XKFcz0XFHLD4NFgvVFpVIRERGBVqslNTWVESNH4rt1Kxa1a2PfoweKPJYgZaammFasiGnFiti2bIkqNJSYXbsIW7IE6+bNcXzrrTyjwlaNG5N05AgLFy0qlBMcFBTEW717c/HiRWxbt8aubds8bwZGFhaYV6+OefXq2LVrR9rt28Ts2EHw/PnY9+yJbT71kO06duTx2bOsWbMm380+eeHv70+//v2Jio3NzkXy8cnzS2xsa4uxrW3237RLF5ICAojds4fH33+P85AheT44yIyMsOnUiUvLlnHu3DmdpeYiIiJIfWoXuUBgKKKiop5Lm4iKimLr1q3YdOnyjAMpaTRoVarc6KY+6VP/xqpxYxL27eOPP/4oVMnH69evM2DgQK5fu4ayfHlsmjXDtHJlTOztczVKWi1ZMTGk37tH0unThC9fnv3gPGhQnqs1puXLY9u1K4sXL6Zv3756tzz9t64hb7/N5UuXMK1SJdvxrl79uQdibVYWquBgks6eJf7gQRKOHcueZ/Ko/S4zMsJh4EDC5s1jypQprFixokANycnJREVFFVq7QFAUhg0bxrBhw/J8LzY2FhNz8xJ1gJPOnyfl4kXkZmaU69ULqwYN8h1fk5qa/R3z8yP1xg2chwxBm5qKUTF7HaRcuULUli3IZDLsu3bNjjbnE/TKio0l8eRJ4o8cIeXy5ewOeSW0CixptST88w9xf/+NlJmJeY0amFaujNLNDbmpKdrMTDLDwsgICiLmr7+I3bcP27ZtKde+fZ7ztczYGIeBA3n044/MmzeP2bNnF0ufwSLBLVq0oFWrVnzzzTcF2sXExHDv3j1q1qzJm127cu78eez799dZpPrfSFotSadOEb1zJxY1a+IyfHiejnD80aMkHThARHi4XqV8Hjx4QIuWLYnPzMTh7bcxLWRbYG1mJrF79pDo70+5N998rl5gDpGrV+OemcnN69f1Gvfw4cN06doVYw8PHIcMKfSyiToxkciNG0m/dw/XESOwqF37OZv4f/4hbvduRgwfrvOmdubMGSpVqpTb71sgKAyrV69mxowZetWCDAgIwM3N7Zmo7KZNmxg0aBAVvvgCdVwcKQEBZAQHZ/e2V6uzjeRyFC4uKD09sfL2xqx6db0jxhFr11LDyIiAc+f0sl+2bBkTJk5EZmuL44ABmOlRF1ySJNLv3yd682bUiYk49uuHdePGz9tptYQvWkRNe3vO66knh7Vr1zL6nXeQ29riMGjQM3U7C0KdnEy0ry+pV65g5eODU//+z82v2sxMHn72GWRlERQUVGDDjEePHpGYmEi9evUKpV8gKAqPHz/m9u3bdOjQ4bn3fvjhBz798ksq5JNGWFgS/vmHmJ07sWzUKHu1Vc9IpTohgcgNG0h/8CA7Ktu8eZFzlBNPnyZ6yxYs6tbFqV+/fFdw/k1mRASR69ejCg/HrGJF3CdMKNL5c1AnJhKxahUZQUHYtGiBbZs2Bfoq6uRkEo8fJ/7IERQuLriOGpXvxsBoX18Ud+8SEhxcrFroBmssn5iYqNcmFwcHB5o0acKQt9/mXEAALu++i1WDBoXOK5PJ5di0aIHryJGk3rhB9LZtedpZ1K5NVmZmgfUCc0hOTqZd+/bEq9W4TJhQaAcYsqtBOPbpQ7kuXYjbv5+kfEoCmdeuza0bN4iPj9c55o0bN+jeoweKKlVwGTeuSHlDxjY2uI0Zg0WtWkSsXk1GcPDzRmo1yOUcO35c53hNmzYVDrCgyKhUqnzLF/2bRo0aPZeWEBgYiIm1NRHLlhH6yy+k3riBwskJ+27dcBk+HJcRI3Ds3Ts7T+/hQ8KWLuXxd9+RHBCgV1UT0/LluXrlCuoch7oAfvnlF8aNG4dZ48Z4TJumlwMM2bvLzatWxXP6dCzr1ydqwwYST59+3k4ux7p1awKedIHUl9WrVzNs2DDMvL1xnzZNbwcYwNjKCpcRI3AaNIjkgAAi169HymOfhpSZiczYmGXLlhU4XsWKFYUDLCg19uzZQ7du3fJ8z8PDg6zU1OyN5MUk5epVYnbuxLZtW5wHD9bbAYbsFVu3ceOwqFULbVoaqiJuSE+9eZPorVuxadECl+HD9XaAARQuLrg/8XXSHz4kqxjNi9SJiYQuXEhWfDzuEyfi2Lu3Tl/F2MoK+65d8Zw8GSkzk5DffstXg3Xz5kRHRXHgwIEiawQDOsGbN29m2rRpOu3OnDmDj48Pf+3Zg+OQIdnJ08XAolYtHN96i6TTp0m9efO5903s7TExN9fr5jF9+nRCwsJweuedfMsY6Ytd+/ZY+fgQvWMHWXk4usonBfEvXLhQ4DhqtZqhw4aBtTVOw4c/0wGmsMiMjHAZOhSFszNRGzb8P2L2BKvGjbHt0IGH9+/nuaHgaYYMGcL+/fuLrEXwavPWW28REBCgl+3YsWPx9fXN/TkpKYmNGzeSlZSE3MwM17FjqfDppzgPGYJtq1ZYentjWa8eNs2b4zRgAOU/+gj3iRNRuLoSuX494cuXo05KKvCcCjc3MlUqHjxV2zMv9u3bx4cffohtmzY49ulTpO+nXKHAaeBAbFq0IHrrVtLu3n3OxqJWLZR2dnpv8j1//jyjRo/GumlTHAcOLJIumUyGtY8PLsOHk3LpEvGHDj37vrExHlOmYFGvHhs3by5wrHXr1jFp0qRCaxAIioKXl1e+NewbNGgAUGSnMwdNamp29LV2bey7dSvSBtGce7KJk1N2rrBGUzgNaWlEbdqE+Wuv4fDWW0XaGyFXKnEbMwYjKysiN2zI82FXF5JWS/jKlWizsvCYOBEzPRqnPY3SwwP3iRORKxSELV+eW0P5GRtXV0zt7DidR6CgMBjMCa5Zs6bO/vEAt2/fJiAwEOvGjfNcki8K1s2aYVa9OtFbtjzn2MnkchSOjs+0GM2LU6dOsXTpUmy7dcszL7mwyGQyHHr1wsjMLM8otcmTc+i6yS5atIiLFy9iP3BgieQwyYyNcRo8mMzoaOKPHHnmPWNrayye1G0NCgoqcJydO3dyN4+btUCgD46Ojrk3I13s3buXGzduANn5fG+0akV4dDSOAwbgNn48FgVsLIPs76JZ5cq4jhyJy6hRqIKDCfnllwKjHnJTU4AC897j4+MZNXo0ll5e2HfvXqwqCTKZDIe33sK0cmWiNm3Kzmt++n25HJNKlTijR7MJlUrF0GHDMHV3x7Fv32JXb7CsWxe7du2IO3gQ1VMtYmVyOaaenphVrcqDe/dITk7Od4yrV6+Kh2ZBqdG2bVuWL1+e53vVq1fH2cWFlMuXi3WOuIMHkTSaYn/HZMbGOA8ZgpSVRZyfX+E1ZGZmpysVY3Ow3NQU5yFDyHj4kJRLlwp9fMLRo6geP8Zl+PAi1zk2trbGZeRIsmJiiMsn2mvs7k6gjsChLgzmBE+bNo3FixfrtLt58yYyuZxyJVTzDZ4Ure7dG3VCAilXrjxvYGRE1pMni8zMTGJiYoiOjkb11I1mwYIFmLm4YKNH22B9MTIzo9ybb5J2/TqZ/1r6lcnlyJ7SlZaWRlRUFLGxsblLsBqNhh8XLMCyQYMipWbkh9LNDeumTUn093/moSH12jVin1x8ObpyNrTEx8c/s4w8d+5cWuSz8U8g0MWRI0fo1auXXukGn332Ge3btyctLY0OHTty8/593D/4AJumTQt987GsUwePyZORGRkRungx6nwct5yIjEwm4+rVq2zcuJE//viDlStX4ufnR1xcHF9++SVxiYnY9+tXImXCZHI5zgMHoklJeS7qCtnRksuXL6N5ok2SJCIiIrh//z5BQUFkZGQA2S1j7967h/2AAUVqvZoX5Tp1QuHoSMyOHbmvSVot4X/+iaTRIEkSAQEBnD17lj///JPffvuNxYsXs3fvXiIiIujatSsfffRRiWgRCHRx6dIlvs4n51cul/Peu++S9qRDWlHQqlQknzuHdbNmxV41BjD19MS8Zk0ST57UuwmVVqUi+ezZbA0lUEfcvFo1TKtUIfHEiUIdp83IIO7gQWxatix0BPjfKF1dKdexIwnHjmX3Y/gXcktLoouRsgEGrA7xzz//FBgJgOxJe9OWLVh6e5dIV5KnUTg7Y1a1Kon+/lg9FWGSJAlNcjLnzp2jTr163LxxA82TG6/cyIgar71G3dq12b5jB+V69CjRUksAlt7exOzaRdKpUzg81YVKk5GBpNGwZs0a5v/0Ew/v3899T2lqSt26dXFzdSU4KAgPAxSit2nenKSTJ0m5ejV393dWXBwZT3RMmzaNG7duERURkXuMta0tDRs0oHWrVowaNQqPJykdAkFhCQkJYdeuXWj1WHp79913AZg8eTJXrl3DbdIklIUsXfY0JnZ2uL33HiE//UT01q24jBz5jBMrabWkXr0KQNPXX0f1xLn8N3IjI2x0bPwotDYHh+wH1NOnsevY8Zk0BmNbW1QZGSxYsICDfn4EBAQQHxeX+76RsTFeNWvyOCgIi3r1ivU3+jcyY2PsOnQgcu1aMiMjs0tAymSkXruGzMwMZDLat2+f+3nKTUyyneMnP5evWJH3xo0jOjq6RNvGCwR5ERgYyGeffcasWbPyfEAdN24c8+bPJ3b37iKVJUu9cQNtRgY2JdjJzKZ5c9KuXyfl8mWs9Oh0m6uhefMS02DbogURq1eTFROjd/fNpIAAJLUauzZtSkSDTcuWxB8+TNKZM5Tr1OnZNyWpWP0owIBO8NSpU3VObo8ePSLo4UNci9irWxeWDRoQvXUrWpUKuVJJytWrxO7dS1Z0NA8kCUWVKpTr2TO7Zt6TXtWhISHcO3AArUbzjPNcUsgVCizr1CHtzh3gSfmQ48dzIz1XwsNRVKiAU+PGyM3NQZLIiovjZnAwFw4cwMjGBmX58iWuS+nqisLVlfQ7d7CqXx9tRgYZjx5l37RkMs6HhWFSqxbO7dsjUyiQ1GqyoqM5HxzMiblz+fyLL2jdujUrV6ygQglGqQWvBo0bN+aXX37Rq2viqlWrUKlU/PLLL5Tr0QOlu3uxz29iZ4dj375ErFpFysWLud99VVgYURs3ogoJwcTJCUsfHxwqVkTxpLwPWi1ZsbHEHzmSGwkqaWyaNyfx+HFSr17N1aVVqUgOCACZjBkffYR59eooGjfGxc0NuZkZkkaDOiaG+9evk56YiLsBdFnWrUuMpSVJZ87g0LMnGY8eIbe0JOX8eZSenlj7+KAsX/7/bWElKbc2avyNG8z67DPmzJnDl19+ydSpUzEuQvk6gUAfmjVrxqJFi5AkKU8n2MXFhZ8XLGDMmDGYv/Yalno4nU+jymkuUQItjnPI2VAbs3MnFl5eOruqZQQFYWxvX6INLsyqVQMg8cwZHPLZWPhvUi5dwtzLq0Si0ZC9gm7p7U3KpUvPOcGa+HjKFzON1mCzzkA9nqZyNqcZwqmD7CUFJCm7SURAACkXLmD22ms49umDWdWq+S5ZRu/aReqlS4XaVVkYlJ6eJJ0/T0ZoKNFbt6J6/BjrJk2wadmywGhNyG+/YWRlZbCOTEpPT1QhIaTduUPUpk1o0tKw69ABm9dfL3CJR5uRQXJgIP6HDlGzVi0W/PQTY8aMEZ2jBHrj5eWFl54dm7788svs/FN3d2zfeKPENFjWq4d5rVrEHzyIhbc3if/8Q+zevSgcHXF7/33MqlR5/po2Msqu56vRZDfOKcEocA4KJycULi6k37uHVYMGpD94QOSGDWgSE7O/nwUswWrS0lAFBWFazGXJvJAZG2NeowbpDx4Qu3cv8YcPoyxfHscxYzDNY06XyWTZG5Pt7bH09kbTsyfxhw/z8SefsNXXl107d+JeAg80AsG/0Wd+GT16NOPGjSNy3TowMsKyTh29x1eFhaEo4WtXrlRi4uhIVlwc4cuX4zp6dO7ehLzIDA3N3WBfUhhZWGBkY0PC0aOYenpiqaOii6TVogoJoVwepeiKg2mlSiSfP58b0Mw5V2ZwMI2GDy/W2AbLCd64caPOjQ83b95EYWVV4qkQOSieFHuO2rSJtFu3cH77bdzGjsW8WrUCHbSsqCgUJbh0mKcurZbQhQvRpqXhPnEiTgMG6FyuzIqKKtElzX+jdHVFFRFB2JIlmDg44DJsGHKlUmeOU05NQ48ZMzCuU4dx48YxdepUvXOZBIJbt24xf/58MjMzddo2bdqUBw8eYNWiRYmnK9m2akVmZCRR69YRu3s3tq1a4Tl1KuYFPDQDZAQHo9RjI3BRUXp4oAoJIeXqVUJ//x1ja2s8Z8zA/s03C/x+qkJCUHp4GPzBOf7QIcp16YJlvXp65x0bWVjg0KMH7hMncu3BA15v1ozgvEo1CgTF5NixY/Tq1avA+UUmk/Hjjz/Stk0bIlasIHrbtuc2pOaHOjGxwC5nRSWnAZcqJITH8+eTfu9evrbajAzDaLCywtjOjohVq4hcty7P3Nwc1AkJSCpViftPSjc3kCQyn2qwk3bnDlnp6bQpZtqFwZzg33//nc06yuRkZGRgpCPEXxxkRkbZ7YwzM/H44AOsGjbU62YgZWWVaPeYf5PzJGNiZ4fH5Ml6J49rs7KQGVCXTKEAtRqrxo1xe/dd1AkJxO7Zo/fxRmZmOA0YgEOfPixYsKBQ3bUErzZXrlxh+vTpz2xOzY8GDRpgrFBgmUfnsuJiVrUqxnZ2pFy8iEOvXjh0765Xl7msmJg8O7yVFCbOzmRGRRGxejWWtWvjPn68XlVr1HFxuZVnDKLLwQG0Wux79qRc+/bE7t1L6o0bqBMT8yxrlBemFSviMmECUampdOjYkfT0dIPpFbyahIaGsmvXrtxNpPnx4YcfcvDvv/n1119RBQYS8s03xOzZgyo09LlyZerkZJIDAwlfuJCsqKhClzPTB0mtxtjGBo8pUzCysCB00SLCly4l9dq15x10uRyKUM5MJxoN5q+9htPgwaTeuMGjL78kfNUqks6dQxUejiYtDU1qKhnBwSQ9ad6jK3WjsORGf5+aU5L9/aldpw5NmzYt1tgGS4do27atzpxgExMTtHrsBi8qklYLWi1mlSoRf+gQqrAwtBkZyORyjKytUXp4YFqhAha1aj3j9MqMjJ4rrVaiup6MraxYkajNm8mKjMx2cI2MMLG3R+nhgVmVKphVq/ZMpMvQunJuWsY2NoQvX44qPByZiQmPv/8eE2dnTD08MKtRIzvNpABsW7RAm57O119/TYcOHWjZsqXBNAteDjw9PenXr59emxwOHz6Mwt3dIA+qMpkM08qVSb97F9tWrfQ/UKMpUktmfZEbGyNlZqJ0d8e0cuXs0kmShNzUFKWbG0pPzzxbokpabYlVhCiI9Lt3SfT3B42GuH37iNu3L7dDn2n58lg1boxppUr5BiFM7OxwGj2aewsWMHv2bObNm2dwzYJXh06dOnH27FmUOpyzYcOG0a9fPyZOnEi3bt349ddfWb5iBcFHjmCkUKB0cEBmZIQmJYWMJ/X+W7ZqhZGnJ+d0lDctLJJWS2ZUFJbe3igcHVG6uyNFRFDV1JTLf/4JMhnmLi7IcvYOhYVlO8IlqUGjISs2FqvGjXPL2CadOkXc33+TmkdJuZzvt6TnA7C+aJ9E8HPm2NRr10i5fp2P1q0r9iqXwWbtL774QqdN5cqVUSUkoElPL1RnFX1If/SIuL17geywudLNDVNPz9zNZuq4OFKvXSPxn3+Qm5tj7eODXbt2GFlaYmJvn2eB+uIiSRIply4Ru28fACkXLmQ7vFWrZm8202jIiooi6cwZ4v38MLa3x6Z5c2xbtkRmbIyJvT1ZerSVLbQutZoEf3/iDx4EIOn0aZSenljWrZu9oSUzE1V4OHGHDiHt3YuyfPnsJgQFtLa2a9cO1a1bDBs+nBvXr2NWwp+v4OXi9ddf53U9d1YfOXYMszzaCZcEkiQhNzdHk5JC+KpVZMXEIKnVyI2NMXFyQvmkDu6/HwRlJia5E3VJ61EFBZH0pMOlKiQEVXh4dgqZTIYmLQ3pSUTIrGpVbJo3x6JOnVzHV6ZQoM2nmkWxdGm1JJ44QdyTOUOTkpLdwMPDI3svhSShjo/P3mNw9y5JZ86gcHXFvnt3LPLJzVS6umLbqRM//vgjQ4cOpW7duiWuW/Bq4uDggIMe1Q127dqV28mwUqVKLFiwgG+++YaAgAACAwN5+PAharUaW1tb6tevj4+PDxUqVGDhwoUcnzwZbWZmiT2cZ0ZGZj/4enqSducOSadP89tvvzFhwgSuX7/O2bNnuXjxIgkJCRgZGREaGsrREyeQNJoSe/B9WgNkR2Qzw8MxNTHhTEAACQkJREdHI5PJcHV1pVatWjg5O5MZHo55jRologEgMzwcyN4fkRUfT6yvL2926cLgwYOLPbbBnOAbN25gbGxM9SfNFvKiUaNGQPbEbv5kF2Jx0WZmErt3L4knTqBwdsaxf3+sGjTINzyfFRND4qlTJJ05Q3JAAI59+6L09CTx1Cm0GRkFJqIXBnViIlFbtpB24wZm1arh0KMHFjVr5nmxSpKE6vFjEv39id27l+Tz53EaOBClpycZJfy0mREcTNTGjWRGRmJZvz62LVqgrFAhT+dW0mpJu3GDBH9/IteuJTkgAKf+/fPcBSqTy7Hv359H33/P5s2bGTFiRInqFrxcxMXFcfv2bRo1aoSJjm5mkiSV+KZVSasl+fx5Ek6cIDM0FJmJCZrkZEzLl0dmYoKUlUVmRASp169n3xT+9SCocHLKnahLCnVyMtG+vqReuYKxnR32XbtiVr06SlfX3IiI9KQ6RcbDhySdO0fE6tUonJ1xGjwY0/LlUbi4kFnMTlj/JismhsgNG8h49AhrHx9sWrVC+WT/RV5IWi3pd+8Sf/gw4cuWYdWkCY69euU5t9q2bk3KqVP89ttv/PHHHyWqW/Dq8tdffzFu3Dhu3ryJtbV1vnZ///33c02+zM3NeeONN3ijgE24nTt3RjtxIimXLmHt41MimpMDApCbmiJTKIhavpxWbdowfvx4AGrVqkWtWrWesb98+TLe3t6kXr+OZQk9QCZfuIDc1BTT8uWR1Gqit20j5cIFNm7cmO9Dar169biho7lWYckICsLE0RFNWhoRS5fiZG3Nn8uXl0w9dslAu5c6dOiAvb09mzZtytdGo9Hg5OKCxssLx969i31OdXIy4UuXkhkVhX2XLti88YbeG2fUyclEb92aXYaoaVOSz5zB+e23sWrYsNi6VCEhhC1dCjIZTv37F6ozniosjKgNG1CFh2PdrBlJ/v6U//jjEsk/TL54kch161C4uuI8aFChSk2lXr9O1JYtSBoNbuPG5ZsiEbFsGdXNzQnUsyWu4NVk9+7d9OzZk6ioKJ1pVE4uLmjq13++ZmQRyYyOJmrjRjIePsS8Zk1sWrTAvEaNPOcOSaMh7eZNEvz9Sb99G7MaNXAaMID4gwfJCAqi/IwZJaIp7e5dIlavzu0cZ+ntrddclhEcTPSWLajCwrB/801kSiUxO3dSee7cEolQqUJDCVuyBJlSifOgQZhVqaL3sZIkkXT2LDE7d6JwdsZt7Ng8UzjiDh4k7dgxIsLDsSmBxgMCga+vL/369SMuLg47A1RwAejYqRMnb97E9cMPi71hV5uRwaOvv8bU0xPVo0fUfu01jh09iq2OsmNNXn+d6zExuIwfX2wHUatSEfT111g2aIBVo0bEbt5MZmQkq1au5O233873uB9++IFPPv2U8rNnl0iwQqtS8ejzzzGtVIn0Bw+QsrLo1aMHK1asKJHP0mAb4xwcHHROYEZGRowbM4bUgAC9d2HmhyYtjbDFi1EnJeHx4YfYtm5dqAvR2MoKl5EjcejVi+QzZzC2s8vOcSsmqvBwQhcvxrhcOcrPmFHo1tBKNzc8Jk/GqlEjkk6eRKZUknjqVLF1pVy+TOTatVg1aIDn5MmFrrVqUasW5WfMwMTBgbDFi59pn/o0lk2acCEwUGfbZcGrjZmZGa4FRBOfxtnZGXVCQomcN+32bYLnz0edlIT7++/jNmZMgW2XZUZGWNSujfu77+I6dixZkZEEz5uHka0tmeHhZD7VTKaopN66RdjSpSg9PCg/cyZWDRroPZeZenri8eGH2LVrR+zevdl6JImUixeLrSsrJoawJUswtrXFc/LkQjnAkJ0vaNO0KR4TJpAVG0vYH3/kucfB0tubjPR0zurRElog0Ic+ffqg1Wp1Ok0NGzbk999/L9I55syeTXpICInHjxfp+KeJ3rULbUYGabduocnMJD09Xa/KKbM//ZTUe/eya4gXk5g9e7L7BTx+TMhPP5EeHs6I4cPp169fgceNGjUKI5mMhEJ2msuPpLNns/8WN29iUbs29j17svfgQbxq1uRiCcxrBi2RtnTpUp12jRo1Qp2eTvyRI8U6X7SvL+rERNzHjy9yGTGZTIZtq1bY9+yJOj6ejEePSL12rciatFlZRKxahbGNDW7vvlvkpyKZkRFOAwZgWb8+klpN4qlTZBWjVWBWbCyRGzZg6e2N06BBRc4fMrKwwG3cuNzyKXnlRJpWrAj8vya0QJAXHTp0ICwsTK/uYZHh4WSWQCmttHv3CF++HLPKlSk/fTpmVasW6ngLLy88Z8xA4eZGwtGjyM3Ni/3gnBkVRcTKlZjXqIHbO+8Uac6QGRlh36UL9j17knTqFAoXl+yW6MVY9JO0WiI3bkSmUGTPZXlEcPVF6eGB29ixqEJCiPv77+feN3FwwMTMjACxeiQoIVQqFeHh4TqrQwQHB5Pw1AP233//zSeffMK3335LiI60oubNmzNp0iTi9+8n/eHDImtNvnCB5DNnkJuZ4TJ8OJ5TpxKckkKzFi0496T6Qn507dqVIUOGEL9zZ7EeyFOuXCHp5EkktRoZ4DRoEHYdOrBy9Wo6dupUYDdgBwcHpk6dSuKRI/kGx/QlKy6O2D17MC5XDrf338fl7bexe+MN3KdPJ1mhoFWbNlzOY4NeYTCYE6wvOdGfhEOHyCjijS3l8mVSLl7EsU8fFC4uxdZk26oV5jVrIjMxIXLLliL3E487cICs2Fichw4t9sY/mVyenX9rY4MMiNy0KbcFaWGQtFqiNm3CyMICp/79i71sY2RmhsuwYajj44nLoy60sY0NSltbLl26VKzzCAQ5mJmZZZfmSUkp8hialBQiV6/GtFKl7CL0RSzpY2RmhtuYMdnzjiSRePo0qiLmBktaLVEbN2JsbY3LsGHFrjZh17o1Vj4+ZMXGogoJIbkYkdVEf38yHjzAedCgYjnAOZiWL0+5Tp2IP3z4uXlfJpejcHXl9u3bxT6PQADg5+eHu7s7sbGxBdoFBwczc+ZMAObPn0/nzp1Zs2YNc+fOpX79+tx50uk1P+bOnUvTJk2I/OMP0gp5/eakC0WuW4fS05OKn3+Opbc3Sjc3XCdMQHJwoEOnTjojwgsXLqR65cpELFmCqgj7AVIuXSJi9ers1etZs/D44AOsfXyw79wZ1/fe49S5c/To1Qt1AZWq5syZQ7WqVYlZswZ1AQ5zQWgzMohYuRK5hQXlp0/H/KkghbGtLS7vvYfG2pqevXqRmppapHOAAZ3gnj178tZbb+m08/b25urVq9SqXZvo1avJelJ2RF8krZbYv/7CvGbNEqsbKnuSu4tMhjY9nYiVKwu981udmEjCsWOU69ixwE0jhUGuVOI0YABSVhYZ9+8Ts3NnoaM7abdvk37vHk79+5fYpj+FszN2HTuScPx4noW0jS0snnm6Fgj+zcGDBzEyMuLx48c6bXft2oWxsTFJxXDqordvR9JqcX777WI7m3KlEpdhw5A0GuRKJVEbNhSplGHSuXNkBAXhNGhQidXZdOjVC7mZGcblyhGzaxdZOpyAvJA0GuKPHMHKx6fQ0fKCsGvbFhNHRxIOH37+TWNjMgxQ1ULwamJra0vDhg11tmVPS0sjIyODyMhIZs6cydSpUwkODubhw4fY2toyffr0Ao83MzPjwL59tG7RgrAlS4jetg2NHnWv1QkJRKxcSdSmTcgtLFAFB5Nw5Eju/V1uaorTqFGogNHvvFPgfd/W1pajR45Qq0oVQn/5hbiDB/WajzSpqURu2JDtANvaoo6PJ2LlSlShof///SpXxmnUKP45dowff/wx37GUSiV7du/GQpKIXLyYzEJWtcqKiyPkt99QRURkz2F5+CpyU1Mchg4lJCyMjz/+uFDjPzNOkY/UgSRJOpceIPuiqV27Nvv37sXJwoKIRYue+aPrIv3OHbJiYrBr165EuyIZ29hg3bgxcoWC9KAgwpYuLbBTyr9JOnsWmZERNiVcI9esWjWUHh7ZS5wnThC9ZUuhHPREf3+U7u6YlWD5EgCbFi2QGRuTdPp0nu/rmnwErzYymQytVqvXQ523tzeDBw0i5dSpIu0lyAgOzm2GYVzATvHCYFKuHPbduqFNT0cVFkbkunWFKp4vSRKJJ05gUasWZpUrl4gmyI5Ul2vfHnVCAjJT0+x5rJAPpKnXr6NJTCzRFtWQnbZh07w5KVevPj+3ajQoDNgYSPBq0bJlSwICAnSWSatbty7z5s0jJCQErVbLgAEDsjenOjjQvn17vfa2WFpasmXzZtzc3Eg8eZJHc+YQtXkzKVeukBUfj6TRIGk0ZEZFkXzhAuErV/Loq6/IePgQlxEjqPTFF9h17Ejcvn25ZUshO/2wXL9++B08yO7duwvU4OjoyOlTp/h45kwSDh7k0Zw5xPz1F+n37z9TMlGTkkLqzZtEbdrEoy++IPXqVZwGDqTCp5/iOWUKACG//ELarVu5x5hXrYpN69Z8Nns29+/fz1dDtWrVOOXvj5uFBaE//kj8oUM6yzVqMzNJOH6cxz/8gDohASNzcyLXrSPOzy/PlW+FoyO2HTvy++LFhBdxBc5gnsmyZcv0KnFz9+5d2rdvT3p6OqdOnqSqqyuhCxYQd+CAXs5dUkAAJi4umOrZda0wWDdrhjYtDfs33yQrKorHP/xA0vnzeqUhJJ8/j2X9+iVe/1gmk2HdvDmZkZHZm/gCAgieP5/0Ai7GHDSpqaTdvIl1s2Yl3kbVyMwMqwYNSPpXHp+k1ZIZH4+zs3OJnk/wctG8eXMePHiAmx75/B988AGurq7I0tML1dEwh8STJzG2syuRyi9PY920KXILC8y9vEi5do3wP//UeylQFRREZlgYNs2bl6gmAKtGjZCZmGBZpw6SWk3Ir7/qNV/kkHL5MkoPj0JvntVL25N6z0/vvZAkiazISKqVUNlMgSAqKordu3fr7EZYs2ZNHB0dKV++PMbGxqxcuRKtVktoaCj79++nip6bQd9//32iExJwe/dd7Nq3J+32bSJWriToyy+5P20a96dN4/HcuUSuXUtWdDQOvXpRYdas7Lbjcjn2b75JuTffJO7AAVKfckAtatbEolIlflu4UKcGpVLJzJkzKV++PGg0JPr7E7pwIQ8++YT7H33E/ZkzefjZZ4QvW0ba7dvYdehA+U8+wbpJE2QyGUoPDzw++ACzqlUJX7GCjKdW6cp16oRMqWTRokUFaqhWrRpXLl/mg4kTidu3j4ezZxO1eXP2qldwMJnR0ahCQ0kOCCDa15dHX3xBzM6dWNWvT8XPPqPCp59i27o1cfv3E7FmTZ6BBetmzcDIqMglFQ1WJ9hFz9zclJQUDh8+TFJSEtWqVeNCYCBfffUV386dS7K/PxaNG2NRrx5KN7dnSvxoMzKyC7HfvKl3O+TConB1RW5hgValovzMmURv307Uhg3E7d+PTfPmmL/2GgoXl2c2lqmTk3Oj0+U6dy5xTZD9JIYkYeLkhOe0aURu2EDowoUoPTywadEC08qVMXFw+H/3lifNQRL8/UGSMDPQzcWsWjWSzpxBk5qamzeYFRtLVloaDRo0MMg5BS8H5ubmVNLzQTYwMJCqVasy74cfmDhxImZVq2Lp7a3XsZJaTcqFC9i1b1/sfPh/IzcxwdrHh6Rz53AdPZqoDRt4/P33OPTokV3hoYC0i/R795AplZgVUFe9yLpMTTGvUYPM8HDcJ04kcu1aQhctym7E07YtJjp2zKseP8b8tddKXBdkPzwrXFyeyV1Ux8eTmZJCwxJ+SBG8uly6dImePXsSFBSU7RTmw99PbdT87bffGD9+POvXryc9PR0nJyd++uknnefatWsXGzduxGnwYMyrV8e8enXKdeyIOjERVUhI9l4GmSx7v4yHR7459nYdOpB+/z7RmzdjNnNmbkqARdOmHN64kbCwMJ1Bg+nTpxMSFob7lCmY2NuTGRmZrSE1FZlMhpGNDaaenhjb2+fpQ8kVClxGjCD0t9+IXL8ez2nTkJuYIFcoMG/cmOUrVjB37twCO/GZm5tTo0YNJEnC1NOT9AcPslPZ/rXqZ+LggHWTJtg0a5bdjv0JDt26YVaxIuGrVhG1aRPOQ4Y8c5yRmRlmtWqxc/duZs+eXeDfIy8M5gTPmTOH1NRU5s+fX6Bd+fLl+fPPP6lQoQIACoWCr776iuHDh7NkyRL++PNPQo8dQyaXY2pvn124PjOT9NjY3D+iUkcb36Iik8my6/QFB2NkaYnLsGGkvf464UuXEr9/P7F//ZXdStHODuRyNOnpqJ5aalR6eBhEl7G9PXJzc1TBwVh4eeHxwQcknjhBzK5dRD2py2xibo6JtTXIZGQlJZH1JHFcrlQ+c4GVJDmfgyo4OPemmX73LjKZTNzQBAVy+fJlJk2axLp1654rVv9vPvroI6ytrWnRogUnT55ky/r1AHo5wqrwcKSsLMwN4GxC9oNgwtGjKBwd///gvHEjsXv2ZOfUVq6c3eLYygoATVISquBgks6dQ+nmVuKOeQ5KDw8SjhzB2MYG9wkTsru9HThA4smTmHt5YV69OkpPT4zt7JA96USnCgkh/f59smJiDDaX5Wh7ehd5yuXLmCgUNG3a1GDnFLxaeHp6Mm7cOCx0bOr8559/cHFxoUaNGrz77rvUrVuX48ePY2VlRf/+/XVWr5Ekic9mz8aiRg2snjQDy8HYxgbjQtS9lslkOA0YQNC335J09mxuG/ecuev8+fP07Nkz3+NPnz7N0qVLswsGPOkroHRzK3T1LLlCgdPgwQT/+CMJR47k1me3rFOHkCNHuHr1am7js7y4e/cukz74AOtmzXDs2zc79S0jg8zISJIvXQKtlnKdOmFkbp7vGBa1a+M8cCCR69djUavWc3O9aYUKXNu7l8zMzEKnURnMCb5586Zem6Hs7e0ZNWrUc69XrVqV+fPn8+2333Lt2jUCAgK4d+8emZmZmJqaUqNGDZydnenatWueHctKCmNb22cmaHVcHGi1XLp8mYSEBAIDAwkNDUWtVmNpaUmdOnUICwtj8uTJBtMle/IUqXmy1CqTy8mMjMTZ2ZkLgYFcuXKFCxcuEBsbiyRJlCtXjvr167Nz50427t9vkKg5kPv75uzalySJ1DNn6NK1q14tKwWvLklJSRw/fpw0PSqxdOvWLff/16xZg0wmY+Pq1VjfuYNDjx4FbvhUBQeDXI6iiGUUdZHTNCYjOBir+vVxGTYMVYcOhP/+O6n+/iTkUwrSSKEw2AoNgMLFBW1GBprUVIytrLBt1Qrrpk0J/eUXZI8fk/Rkbn0amUxG+YoVSYYSqQiRH0bm5mifLFNLWi2pp0/Tr18/7O3tDXZOwauFl5cXS5Ys0Wk3evRo+vbty3fffQdAs2bNaNasWe77kiRx5swZjh8/zoULFwgNC0OSJFxdXWnYoAF2dnZcvXIF17FjS+Q+a1KuHJZ165J48iQ2LVsik8sxsrFBaW3N5cuX6dmzJ9HR0cTExOS2Ls7pz/DLL79g5uycnS5QTJSurti8/jqJJ09m778yNkbx5KHd39+fpKQkLly48EwL5YYNG9KgQQPGvfsuMisrHHr0yP2byE1NMa1QAdMnwU99sGzYkJSrV4ny9cXcy+uZzcMKFxeyMjN5/PgxVQu5eddgTvCECROem1TzIioqit9//53Ro0fnGQFSKBQ0aNAgz+X0e/fuZf+PgZy6XJ5EnCW1muTjx+nUuTN16tQBshPu/836J5Epg+qSyXJ1qRMSSLtwgSkff4ybmxtubm50ziMV4+BTSfaGkfT/9AuA9Nu3SQsOZsKyZQY9r+C/T40aNVizZo1eaVSrV6/GwsKCvn37YmJiwrp162jZsiVTp00j9OZNLJo2xbpp0zyjLpqUFIwsLEqke1peGFla5rZcziEzIgJ1Sgr79+/ntdde48KFC8TFxSGTybC3t6dBgwa069CB6GJWqSiI3FSMp3LqMqOiUEVE8Pvy5QwdOpQbN24QERGBRqPB1taWOnXqoFKpcHR0LFaNYV1IkgRPIuBJZ86QER3NxAkTDHY+wavHo0eP+PPPP/nwww8LfLjq169fnr6GVqtl9erVzJs/n5s3bmBsaorS3R2ZrS0y4PKlS+zauxd1ejpG5uaYl+DGc6vGjUm5eJGsmJjsiK4kgYkJ6zdsYPHSpUT8qxZvxcqVadGsGb7btmHXtWuJrS5ZN2tGor8/qTduYFm3LpkREciMjZk6bRpajQYjpRKFjQ1IEqqEBLRZWZiamZGRno7zsGF5VrxJuXQJbUYG1nqs+shkMhx69iTo669JDgzE5innPmd+08fn/DcGm3X/3Wc7JiaG7du3c/78ec4HBhLzJEppZWHB7Vu3SEtLY9q0aTgVoh1wTgtBbTHqhepCk5qK/Mnmtjg/PzKjovj2m2/00qVJTTXYzTZHlyRJxGzZgr2dHZMmTdKpS12Meno6NT35HIzMzNBmZBDn68sbrVvTsWNHg51T8HLg5OTE0KFD9bJds2YNTk5O9O3bF8iuPPLee+/x5ptvMnfuXNasXUvc339j7uKC3M0t1xnWpKSQcesWFKG+dqF4+gE1OZnY7dt5q3fv3AfTik8ayDyNmZkZUlaWwSRJT24OOTcLSa0mdvNm6tSpw9ChQzExMaFevXrUq1fvmeNMTU0xUShQF7J0ZWFQJyRgZGlJVlwc8Xv2MHr0aJEKIShRHj9+zNdff83QoUMLdILnzp373GtBQUEMHzmSf44exbJOHdzefRezatWecy4lrZaQX37ByMKiRNOaTJ/kMKtCQtCkpRG9eTOZsbEEmZhgVrMmzu3bZ89xkpT9HQoOZvOuXWjUasxr1SoxHUpXV4zLlSP97l3S794l0d8fYzs7bFq0wKJmTUycnHJ/b0mjITMigqgtW5DHxmL5JGj4b1KvXycrPl4vJxiyI+MWtWqRdObMM05wzkqSZRGaCxnMCd66dSsJCQm0bNmSr7/5hi1btqBWqzF3c8u+MT15UkpOSsLUzY35P/3Ezz//TN9+/fh01ixq1qyp8xwODg44ubigCg3Ve2NMYVGFhGDp7U3a7dskHj7Mp7NmUV9HPeKcG4kqJETnppOioE5ORpOYiNLdnYSjR0m5eZNNf/2lsyVkvXr1UCUkoE5MLFRukr7kbG4xcXUlessWZOnprFqxQpRHE+gkJCSExYsXM3HiRJ3R4M6dO2P1JKf2aSpWrMjSpUv5/vvv2blzJ+fPn+dcQABRDx+i1WopZ2eHmZcX5y9cQNJqDZJ/q83MRMrKQm5qijYjg/Dly1GnpXH37l2uX79OrXxuSrW8vHigoxtUccgMD0dubo7cwgJJkojevp3MyEjW/PUXJiYm+R5nYmJC7Tp1uFcCHfryQxUcjLmXFxF//IGTg0OB9UcFgqJQvXp1li9frjPItnjxYipXrkynJ3mv165do027diRrNLi9+26BEV6ZXI4mNbXQ7cR1YWRhgZGlJYknT5Lx8CFKT0/cJ0zAtHLl51IuzKpUgcaNibOyIv7wYUxKOKVI6elJ0vnzoNXi8NZb2aVR85hHZUZG2dVkJAmLWrXy3RRs3aRJoctcmtesSfTWrWgzM3ODjKqwMCytrXXuJ8kLgznBu3fv5uTJk7w/YQJGVlZYd+6MtY9PvrllmtRUks6dY8fBg/j6+vLlF18wbdo0jHUsETZp3JgjN28a4ldAnZCAOj4emVxO+PLlGBsZ4eXlpfM4d3d37B0dyXj4MN8noOKQ8aQlY0ZICAmHD2Nvb6/XMnJO8nrGw4cGeWhIf/gQuYUF8fv3k3r5Mlu3btV7x7/g1SY8PJxvv/2WAQMG6LyWdRWst7W1ZcSIEYwYMeK5944cOUK7du3Iiooqke6S/0YVGgqShNzKitDFi8mKisKpf3/uHztG/QYNWLZ0aZ66GjVqxNYdO5A0miK3MS+IjODg7I2rWi3R27eTdPo0v/32G956zAPNmjbl5saNBnlwyIqJQR0XR+q1a2iSk7GrVUuv+vICQWFwcXFh9OjROu0WLVpE+/bt6dSpEyEhIbRp1440hQK3ceP0a2Gu0RS7+U6eGBmR8eAB5bp0wa5tW51zhCY1Nbu7bAl/X41tbECrxXPqVBQ6yp5KGg2qsLDcMoh5UZTmO0oPD5AkMsPCMH2yqqZ68IBGRawSZpAQXXp6OleuXuXhw4dYNGuG24wZ2LVpU+DmCiMLC+zatMFtxgwsWrTgk1mz6Na9u86NMv369SP13j0yo6JK+tfILuNhZET84cOYVqqEsnp1Bg0axEcffVRgjpxMJmNg//6kX7hQpM5ROnWdOYPc3JyEw4ex8vEhzcyMJk2bsulJZYj8KF++PA0aNiTFABEnSaMh+fx5ZEDa5cts2LCB3r17l/h5BC8nTk5OjB07VudqBmSXOypqv/icfL/0R4+KdLwuMh49ArmciNWrUScm4jZ+PNZNmuA6ZQpmDRowcuRIli9f/txx7dq1Q6NSkXrjRolr0qSmkn7nDgoXF0J++YWk06eRm5jw9TffcOjQIZ3HDx8+nIy4ONIMEGxIPHUK5HJkxsY4Dx3KnYcP6dCxI8lFbLUqEOTFrVu3ePPNN3mk43v/2Wef0a9fPyRJYvQ775CcmYnT2LH6OcCATKnMXZovKSRJQpuejrmXF2aVK5N2+zZpt2+TFReXrx9iqM3vSBLGtraY2NujCg0l/cEDMoKC0OSRZqlNTweNpsBV54R//iF6x45CSfj3Bvys2FhSb99m6L9Kp+k9XpGOKgC1Wk2fvn25fvMmrmPHYqFH5PRp5CYmOHTvjnn16hxauZK3evfmrz178l2y69evH5M+/JDEEydw7NOnJH4FIHtZM9HfH7Ra7Lt3x7Z1a5DJMP3nH77//nvkcjnffvttvse/9957LFq0iOSLF7Eu4EmosGRGRZF28yYyU1NcRo7Esm5dJI2G6M2bGTJkCAqFokDnc+KECYwcOZLMyEidT3KFIeXSJTTJyVSpWpWtW7boTBkRCJ6mQoUKLF26VC/bWbNmoVAo2FHIyROyo8Rt27Xj7Llz2JRw3qkkSdkdE7VarLy9cejVK7dZjtzEBMf+/ZEZGzN27Fhee+01WrRokXust7c3jX18uHnqVImvHiWdO4ek1ZJ44gQmDg54fPABxjY2RG/aROc332TTxo25+dV50bhxY+o3aMDtI0cw9/IqseiSOjmZxFOnULi64jFpEnKF4n/snWV8VOf2tq/xyUzcHXcnuEuBAoUCLRRtoS3tgVLqUC897alBhVJcipTiVtxdggR3jbtNZjI++/0wSQ4SmSSTc/7v6Vy/Hx/I7OfZayaZvdd+nrXuG7m/P5dmz+bdd9+tsPi9CxePo9Fo2LVrFxqNptTjXnjhBQDWrFnDnt27CRk/HqxWtJcuYUxMtCd2YjEyX18UEREowsMRP5SbKEJCyuV4Wxbm7Gxy9u9HsFjIv379iQdRsVqNulEjvDp2LKodBpB4emLJyXHq7o01P5/827exarXc/fDDR5psAaS+vqgbNsSrY0f7LpsDibgpJeUR9a2KkL1vHx6enowYMaJC452eBH/33Xfs3LkT727dyL95E92lS/aaj4fEoZXVqpVZq6KqV4+gl19m34IF/Otf/2LatGnFHqdUKvlo6lQ+/OgjPKKiipbHK0vmjh1Y8/MJGT/+kUTeu1s3BEHg22+/pVOnTvTr16/Y8Y0aNWLQ4MHs2LoVdYMGDj9JloZgs5G2ahVilYqIDz5AVvBEJJJICBg+HMFiYcyLL9KyZctim28Ahg8fzj+/+oq0tWsJfuMNp3xBrFot6Rs34u/vz7WrV112py7KjUaj4dixY3To0KGosbQkwsPDK1VnPumNNzgwZAiGuLhHbhyVRX/rlt396fnn8S7G+U0kEuE/eDDmxEReGjuWy5cuoXpIG/Pdd95hxIgR6K5eRe2khhZLXh7Ze/Ygksnw7dMHr06dim7awePHk7ZyJSNGjiQgIICuBTqkxfHjjBn06NGD3OPH8XaSFXz6+vWIxGJCX3+9qLZPER6OzzPPsGjRIoYOHepqqnXhFBo3bsyFCxfKdCF85513qFu3Lkt+/x1laCg5hw6hv30bAImHBxK1GsFmw5yZCVYrYpXKbvDQuTMyHx8UkZHodu7EZjCUKtVYFjazmazdu8k5eBCRTIZn27a41aqFPDQUiZsbgsWCKSUFQ1wceWfPknf6NKqGDQkcOhSptzeK8HAEk8kpZV+CzUbO4cNk7dyJYLWibtIEVe3ayMPCkKhU9lhSUzHExqI9f57cY8dQN2uG/6BBiGSyUptqfXr3LvduuSUrC7D/PvJv3kRz6hRz58595FpaHkSCE7VvDh06RM+ePUEuL/KIVoSFIVapEGw2LNnZRW9AWasWXh07FtkElkTmzp1oDhzgzOnTJa4uWiwW2rVvz7X4eIInTy5VdNkR8m/eJGn+fPwGDMCne/cnXhcEgdSFC1FnZ3Pj+vUSb9opKSnUb9gQa3g4QWPHVjrhzNq3j6zt2wl7441ia2lsBgOJM2bQvmlT9u/bV2KicOzYMbp06YLP00/jW8mbjGCzkbp0KeL4eG5cu0ZISEil5nPx9+Ty5cs0bdqU6Oho2rRpU6XnslgsNGvenAcaDSFvveWUGlybyUT8jBlI1GrCJk8udTvSlJZG4owZfPnFF3zyySdFPxcEgaf79uVwdDSh779faW1eQRBI+f139HfuEPnhh0g9PZ88xmolZd48fE0mrl29Wmp39cSJE1m4ZAnBEyaUS9+zOHKPHSN9wwaCXnwRj8eu64IgkDJnDrXd3TkfE1N1W7suXDxGq1atCA4OZvuOHSAIKKtXx7NDB1R16z6yrS9YLBiTk9HGxNh3WiwW/AcOxK1BA+K+/pqA556rsAW6OTub5AULMKWn49u7N95dupSaUAs2G7pLl0jftAnBZCLoxRdxq1GD+59/jk+vXvj26lWhOMC+wJW8ZAmGBw/w6twZn6eeQlpMU3JRLBYLeTExZPz1F2CXjFSGhxM0enSFY3ic3OPHSd+4kfC33yZ1wQI6tWnDvr17K7ww4pR1ckEQWLZsGb369EGQSHBv0QLPtm1RN21KxPvvEzZxIuGTJlH9s8+o8dVXBBVIIaUuX07ib7+VWs/r26sX8oAAPv3ssxKPkUqlrPzjD+QmE6kLF2J1QHC/JPR37pC8aBESD48nHF8KEYlE+A8bRkZWFr+V4uEdHBzM8qVLyb96lfTVq4v1vXaU3GPHyNq+HWXNmihLaDYTK5X4Pvcchw4eLLXWr1OnTnz22Wdk7dxJztGjFY5JsNlIX7uW/KtXWbRggUvc3kWFcXNzo2HDhqXabxZiMpkwlrOj+GGkUikrli/HkJRE5o4dFZ6nEEEQyPjrL8xZWfgXOCKVhjwwEHVUFL/NmYPloVUQkUjE4kWLUABpS5YULSRUNKbMbdvQXb6M/+DBxSbAYN9F8n/hBZJSUx9JyItjxowZtIqKInXhQvT37lU4rsIEWN20abENuiKRCM9u3bh44QJnzpyp0HlcuHiYy5cv4+/vz4ULF0o97oMPPmD/gQNI1GpCXn2V8LfewrN16yfqWkVSKcqICPyffZbqn32GR1QU6evXk7VtG6pGjcg+eBBbBTRrzdnZJM6ahc1kIuK99/Dt3bvMFWWRWIx78+ZETp2KsmZNkhcvRn//Ph4tW6I5caLCeYdVpyNx9mzMGRmETZpEwODBpSbAYP9cPNu0IXLqVBRhYZjT09FevYqtBPnHjK1bSSglhyoO7eXLyAICSF2wgHo1arBh/fpK7QxWOgk2Go28MHw4Y8eORdmkCdW/+ILAYcMIHD6ckHHjnjhe4u6OR8uWhE+aRNikSVjz8oifMQNtCX+cIqkU9y5d2LljR6lF7fXq1WP/3r3IcnNJnjmz3BdpwWole/9+EufNQ+rvj81oJH7GjBLre6Te3qhbtmT23LmP3MgeZ+DAgSxfvhxtTAwp8+ZhzsgoV1w2g4G0NWtI37ABRWQkhvv3Sfj116Ki8MdR1a+PKjyc32bPLnXeadOm8d5775GxcSNpq1djLWcxvzkzk5T589GePcvSpUuZN28eL730UrnmcOGikNq1a3P16tUndGqLY8SIEQwaNKhS52vZsiXfffstOQcOkL1/f4XnEQSBrB070Bw/DoJA6rJlDjXdeXXqREpSEjt37nzk5+Hh4ezZtQvS0kiZO7fc1wsAm9FI2po15Bw4gEgqJXP7dvR375Z4vMzfH69u3ViwcGGpLp8qlYrdO3fSpmVLkmbPJnPHjnJtZVry8khZupT0DRuQeHmhu3SJrF27im3uUTVogNLPj+XLlzs8vwsXJSEIAhqNBnMpWtxXrlxh/OuvQ2AgkR9+6HBJklipJHDYMILHjkV76RIIApbcXDK3by9fjDYbqQV/7+FvvominLuqEpWKkJdfRlWvHinLlqFu3hyLRlOh65sgCKT+8QdWrZawSZNwq1mzXOOlHh6Ejh+PW926CEYjucePF38eiwWhHAsaprQ09DdvYk5NpUenThw5fNihZurSqFQSbDabee7559m4aRPBL71E8OjRRVt4NrO5TP03t1q1iPjgA9SNG5OyfDl5588Xe5xHixZIlMp/O7GVQFRUFGeio2kUGUnirFmkrl5dZpG6YLWivXCBhJkzydy+He/OnYl87z2qFWwfJs6eXWLhtmeHDqQkJXHw4MFSzzFq1Cj27d2LWqsl7vvvydyxA0sZltI2g4HcY8eI+/578s6fJ2DoUMLffpvwt9/GkpVF4uzZxXZkikQi1G3bsn3bNrJLqcURiURMnz6dBQsWYLlyhaTp08k5dqzM1SdLTg6ZO3eSOH063vn57Nm9mzFjxiAWi6vUVcrF/zY2mw2NRlPqA2Uhzvpbe//99/nss8/I3LaNtD//LPcOkiUvj5Rly8jetw+/gQOJnDIFsUpF4m+/ob18udSxirAwlL6+HC/m5tC2bVuOHD6MH5AwfTo5hw45tKok2Gzorl0j7ocf0MbEEDh8ONU++QR5QABJ8+eTf+NGiWM9O3TAZDKxdOnSUs/h6enJgX37aNumDdl79xL77bdkHzxY7LWoEFN6OhlbthD37bfo794l+KWXqP755/j260f2nj3FJgsisRhZ9eqcjI4u8327cFEWTZs2xWQy0bqEJnWTycTwESMwurkR+o9/VKgUyb1ZM4JGjSL/6lXcmzQh98gRu/qJg+QcPowhNpag0aOLFBDKi0giIWj0aMRKJTmHDuHdvTtZe/ZgiI0t1zya6Gjyb9wgcORIu0tdRWKRSgkeMwaJuztZO3ZgKeb6GjB4MBHvvefQfIIgkL5hA2KplPnz57Nzx45KJ8BQyZrgqVOnMuOnnwh6+eUnVCDSN2xAf/cukVOmlDmPYLOR+uefaC9cIOLdd1GEhj5xTPK8efSsV48tW7aUOpfNZqNb9+6cOH0aCuxLFeHhKKtXL6pPRhAwZ2djjI9Hf+cOVo0GZfXq+A0ciNtDpQZWvZ6kOXOwarVETp36xLaEYLMR9+mnTPv0Uz7++ONS48rOzqZuvXrkGI1YDQYEiwW3mjVRREaiCA1FJJcjWCyY09MxxseTf/s2gtmMunFj/J99Fpmvb9FcptRUEn/7DUV4eLEe5abUVOK++459+/bZa7TLIDY2lvfef59NmzYhlkpR1qmDPDzc7gAjlSKYTBiTkjAnJJB/5w5KpZLXxo/nn//8J54F26w5OTmIxeKi/7twUR5u3bpFvXr1OHToUKkNWgC5ubkIglBmA52jLFu2jElvvokB8O7dG89WrUrdgrTm55N3+jRZBSVHgc8/X7StL1gspKxYge7qVUJffx1VKY04KYsX0zowkAMlrNQcPnyYHj16YLPZELu54dG6Naq6dVGEhxdtz9oMBoyJiRgePEATHY05PR1lzZoEDh+OPCCgKKbkJUvQ371L+Ntvl7jClLxwIe1CQ9m3d2+pn9fSpUsZN24c3k89hTU7m7wLF8BmQxYQgCI83N4ELAhYsrMxJiRgyckpaiDy7t79kS3VnEOHyNiyhaAxY/B4zK425/BhNDt2oNPpytSLd+GiNEwmE4mJiYSEhKAs5rv99ddf88W0aYS9847d5KESpK5cie7KFdRNm5J3+rS9Lrd371L1g20mEw++/BKPFi0IKEWpxVG0ly+TsmQJoRMnkrl9O+b0dEJff92hRmDBauXBP/+JW506BDuhlrcwFre6dQn9xz8eyVesOh2C2exQ0p9z9CgZGzeyZcsWBg4cWOm4CqnwleXUqVPMmDEDn379ipdBe8g6tCxEYjFBw4djSkggbdUqwt9++4lmFVlYGGfOnStzrrlz53L0yBFCJ07ErWZNdFeuoL10ifxbt+xL8gUxiWQyFGFhuDdvjmebNsX+4Uvc3AgeN464H34gY8sWAgvkUx6OWx4ezrmYmDLjmjx5Mrk6HeEffIBYqSTv3Dnyb95EGxNDzoEDRceJVSp7h3T37ni2bVvsH4c8KIjAkSNJXrAATXT0E1JPsoAApEolMTExDiXB1apVY/26dSQmJrJkyRIOHznC2ehosh5aSQ4ODaVLq1b0njyZMWPGPJHsOishcfH3pLCmy+aApbGXk90OX3rpJcxmM+PHjydj40Yyt21DVa8eivBw5EFBiGQyBLPZLucTH0/+zZsINhseLVrgN3DgI0mdSCol+MUXSZo/n9SVK4mcOrVIJu1xpAEB3C0wvnkcg8HAa6+/bq87HD4czenT5J05Q+6RI/YDxGL7Nbag3k8kk6Fu3JjAF154wklKJJUSPHYs8T/9ZL++ltAMqIiI4Ozp0wiCUGJdc2JiIm++9RaerVrh378/AP6DBqG7ehVjfDyac+cQSSRIvbyQuLvj3rIlymrVUDVo8IiUVCHe3bphiI0lfeNG3OrUeeSzlHp5YTKZyMvLc8qKj4u/L/fu3aNBgwYcO3aMjo81rBkMBn765Rc8OnSodAIM9u+D9uJFZH5++PbrR9auXeiuXsX36adRN2xY7HdPe/48tvx8uxSrE1A3aoTM3x/NqVOEvvYaSQsWkDhrFr59++LdrVupTfq6y5exajT49Ojh1Fj0t26RsWED/kOGFJ0/e98+dNeuUe2jj0qdQ3PmDJmbNzNp0iSnJsBQiST4jUmTUIaHl/hL83vmGXDghlaISColcORIEn75xZ7YPeQLDfYa3Mz09FLn0Gg0TP3wQzzbty9agXFv1gz3gjpDm8mEYDKBWIxYqXRIrUHm64v/gAGkr1+PV8eOdreShxB7epKSklLqHNHR0fzxxx8EDh9elNR6dexY1D1qMxoRzGaQSOxxOdANrW7QAI82bcj86y88WrRA/FBDkUgsRu7tTVo5DUTCwsL47LPP+IyCWsesLLKzswkICCgz8Xj77beRSCQuy1MXFaJGjRpkZ2c75P3+6aefkp6e7rCucFlkZ2fz0ccf4964MX5DhpAXHY3+7l1yDhx4pDyo6AG1d2/7A2oJTSIiiYTAESOIL3h4Dho+vPjjpFKMRiMnT55Eq9UilUqJiIigVq1a/PDDD9y5e5ewd99FHhyM/8CB+A0YYF9djY/HqtUi2GyIlUoUYWH2ZL0UlQuxXE7QiBEkzJxJ7rFjeBez2i4PCyMlO5uUlBTc3NzIzs62NwH7+xf9Xj799FPMIhGhgwcXjZO4u+PZti20bWu/7ovFRZJnjhDw3HPEfvcdWTt3Ejhs2EMfkP066MiDkQsXpaFSqejQoUOx15eNGzeSnZlJ5EO63ZVBolbjERWF5uRJqn32GeqGDUlbt46UJUuQe3ujqF3bvmPi4QE2G6b0dDQnT6KsUQOZv79TYhCJxXi0bk32gQMEjRpF2MSJZO3cSea2beSeOIF35864N2/+RMOfzWAg5+hRFGFhxe7IVziWtm3J2rWL3OPHMaakEDR8ODJ/f6S+vqU+eFj1ejL/+gvNqVO8NHYsM2fOdEpMD1OhJPjMmTPEnDtHyKuvlnjhLc9FsBBlZCTqRo3IPX4cz/btH00GRSJsgoDBYODSpUvcv38fs9mMm5sbDRo0oF69eixfvpz8/HyqlSD7JZbLoQJxebZrR/a+feQeP/7EajAiETabjdzcXM6fP09ycjJWqxUvLy+aNm1KZGQkv82ejdLfv0T7QLFCAQ50xT+Ob58+5J05Q975808K/xfElZyczIULF8jKyiq6obVs2RL/Mr5sIpEIPz8/hxUf7t69i6QK7F5d/D2QSCQO7ybExsYSFxfntHMvWrSIrOxsIt94A6mXF75PPw3Yy52sOh2CxYJYJkOsVjss1yXz8cG3b18yNm/Gt08fZA+tZJrS09GcOIHm9Gls+fl0eOyBX+3hgclkwqNdu0dKF0QiETJf30dKo8qDslo1PKKiyDlyBK/OnR9ZBBCs1qL+iZatWpHyUB+ESCSiZu3aRLVowcZNm/Dq06dEGcqKaKNK3N3x7tSJ7IMH8R84sGgOq1aLWCLBo4yOdBcuyiIyMrLY+nuwW6mrwsMrXPtaHO7NmqE5dQpzZiaKsDB8unUjZdkynu/Xj+s3b3Jlxw7MBXX+Pn5+SC2WElWfKoqyWjUEoxFzejryoCD8n30WeXAwaatXk7V1KxmbN6Pw9kbq5wdiMUJeHvmpqSASVVjercRYqlcHq5WA4cPJ3rOHuO+/x71lS7w6dHhiwVMQBMzp6eSdOYMuOhpxwW7XiwW9R86mQknwokWLUPr5oSrFDS67QGQ6dPz4cs3t1bEjSfPnY4yLK9KitJlM5N+8CSIR7h4eWItpnnFTqZAWbAlWtKi8JEQSCZ7t25O9bx/+gwcXJfhWrRZDXByX9foSb+DePj5oNBp8+vZ1uo+3zNcXVYMGaE6efCQJNqalYcjIYP7Chfz000/Fjg2PjOSlMWN47bXXiCyhTujWrVs8//zzrFy5kiZluFh9/PHHLj1PFxUmOTmZPn36MHfu3Ce2Kx/nrbfeKtNO3VFsNhuzZs9GXcyqiEgsLlMSqDQ827Qhc8cONCdP4tevH5bcXNI3bkR36RJitRqPFi3sPQFhYYjd3BCsVsyZmfba3gsXnH4jArsqRd7Zs+TfuIG6YUO7k9zx42Tv3Wvvn4iIwFCrFkE9ehQZ/Fhyc8mIj2fTrl1YrFb7qm8JpK5ahdTTE7+CUglH8Wzfnqy9e8mLiSm6KRoTEqhXv77LfMdFpdFqtezcuZMuXboQ9JhT6umzZ5E4oQziYRQREQAY4+ORBwSQd+IE7Tt0KGrut1qt6PV6JBIJNpsNd3d3vCppavE48oIHaFNaWpE7rCE2lqDgYM6eOcPp06c5e/YsCQkJWK1W/Pz8aNasGa+++mrRWGdR+DAvUSiInDKFhBkzMFy8SN7p04ilUtzCw+0LgQUmIGadDrWHB6+PHcvo0aOZNGlSlT0MVygJPnz0KPJ69UpN6qx5eZjLuR0P4FanDiKZDMODBygiI9HGxJC+aRM2nQ5VvXqomzRBERGBLCDA3rRlNGJMTsZw7x5Zu3YR6CSnpcdRN2xI1s6dGBMTUUZGkr13L9n79yMIAsrmzQmsVw9lRARSHx/7Kmx+PsbERPJiYrDFxDjNAaq4uNI3brSXepjNZGzaRN65c4iVSqQtWhBcs+a/t16w39CMCQlo7tzh+59+4ttvv+X111/nhx9+eGKryGQycfnyZXSldH4X0r59+yp5fy7+HlitVi5fvkxeXl6Zx7YqQb+7JLRaLefPn+fq1avk5+cjlUqpVq0aUVFRpKSkEB8bS9gzz1Q09BIRK5V4tGiB9uJF5CEhpK9bZy/7GjEC9xYtiq2RlQcEoLtwAXloaKWdnopDERmJ1NeX/Fu3kAcFkfrnnxju3cOjbVu8u3YtWZapTRtSdDok2dmlul9asrLK7QAF9vpfRViYXZS/Qwf7alBsLG379Cn3XC5cPE56ejrDhg1j3759TyTBCQkJyEp5sKsIErUasVKJJTcX7YUL6G7fZsoPP/z7dYmk6H5bKEtY3PWgMogK5ytYSbXk5pJ//jzvTJ1KeHg44eHhDBky5JExer2eV199tUI7+aXGUjCfYLFgePAAU0YGf/zxB7t372b79u0M6tEDrVaLXC6nbt26REVF0aVLl6LP6PTp006N52HKnQTrdDpu37yJ39ChpR7n2aYNqvr1yx2QSCJBHhqK4cED9Hfvort8GfcWLfDr16/4ehmZDFWdOkUJ+eM1u85CHhwMEgn516+TvmEDpuRkfHr0wLtbt2LlVMRyOVJvb0xpaeiuXEHmxK2Wh1FERIDNhub0abL37EGwWAgYOhSPVq2K/UOWBwQgDwjAo0ULbAMHknvyJAuWLGH7jh2sX7fuEQmZatWqsXXrVurVq1dmHEuWLMFoNDJhwgSnvj8Xfw/8/PzYunUrLR9TCCiOVatWkZyczLvvvlviMSaTiU2bNvHbnDkcP3rU3uwlFiORy+1lDgVbkXKFAkQiFE60T34YZfXqaE6dInX5ctxbtCDguefKlF8yJCSgLFhJcjYikQhlRASGe/dIiIlBJJMR+sYbqIpxoHwcY3w8qoYNSz3Gt3//CjvwKcLDMRRoLBtiY9EnJ/PC4+VnLlxUAC8vLyZPnkx4MfmBzWZDWhW7mGIxVp2OvIMHGTxkCM8++2yxh7kVNM5WxhynOArnE8lkdkOfdevw8fRk8uTJJY6Ry+WIRKIy5W3LS6EWsGCzkbl2Ld179GDkyJF4e3tTq1YtvvjiixLH6vV6du/eTfv27Z94gHEG5U6CExMTsdlsyMuoKZUHBRUtwZcXub8/2qtXEQHB48bh3rRpmWPMBXbMziosfxyRVIrM15ecQ4eQensT/vbbDt2oLFlZyPz8nF4KUYisQAYpY9Mm3GrXJmjkyCe2dUtCrFDg060b7o0bk75yJV27dWP3rl107twZAA8PD55xcIVsx44d5OXluZJgFxXCzc3N4b+1/fv3c/ny5RKT4EOHDjF23DhiHzxAXbs2/kOHoqxWrah5TBAErLm5GOLjydy2DRkV62FwhMKHcnWzZgSNGeNQyZA5LQ3PEvoHnIE8NBTtlSvIg4IImzCh1JXdh7Hk5CAro0fArXr1CsclCwhAW6AVn3v4MJHVq9O7krbuLlwA+Pr6lthU5ePrS7YDO1DlwWYyYdPr0UZHE+rnx7y5c4v97sfHxxMbG0tEtWpoSvAjqCimghp/eUgI2fv2ob16lZVbtuBbSk+BRCKhdt26pDk5lkKvBc2RIygFgSWLFyMSiejfvz/9yyidysrKYvDgwezYsYO+ffs6NS6ogFlGkZh9GU/7uqtXy+2YUoREgmCxEPbGG6jq18eclYU5I6NElzSgSImioqsQjiKSyQh7801k/v6YMzIwZ2aW+gQn2GxVGlPRCnhYGCGvvgpisT2urCyHbRtl/v4E/+MfiMPD6de/P7dv3wYgLS2NiRMnFv2/NAYMGPDE1ooLF46i1WqZOHEiFy9eLPPY3r17M3LkyCd+brPZeP/99+nevTtpgkDI+PEEjBpll0AMDS36HopEIqTe3rg3afJIqVBVULjq69G6tUMJsCAICGZz0fZhlSCVgs2GunFj0jduJHH2bBJnzyZ5yRIyC+Scirt2OHItyzl6lNyTJysUlkgstht+XL2K9sIFvvziiypphHHx90Oj0TBlyhRuFGMY0yYqCksZplrlxZSUBIKAj1rNoYMHCSxmJ/iHH36gWrVqdO7cmfjYWIwVtCIvCf29e4jVanKOHSOrwB5+2fLlZapGtWvTBnM5zTXKwnD/vr35LjOTLZs2Ub3gYXnfvn189dVXpY51d3dnwoQJRFTR7li5V4JVBV3BZS3dG+LiyDt7ttwNEoIgYM7MRCyXk7pyJabU1Ef0hiUeHigiInBv0gT3li2LVnAKbxo2g6FCbi9lxmW1Ys3LQ6xWk/DLL1gKVp4Lkfn7o4iIwCMqClWDBkXJqVgud/o2x8MUOs8JNhux//znow8KYjHy4GCU1arh2bZtUaNhcYgVCoLGjSPpp594adw4jh05Qm5uLnPnzmXYsGHUKUX0H3BZJruoFAaDgblz59K7d+8yrZOHPSyjVUBycjL9+vXjwqVLiGQy9LGx6BcuBP6tCe5Wuzaebds+ulv0H2rmFBW43Fk1miI5RKmn5xNJpUgkKloEcDaFLpQ5Bw+CIJBz6BCKsDB7HwP2Rt/cY8fI1uns5hZt2uDVpUuRsoUj17L8a9cQyeV4VaBHwGYwIJLJyFq/nj5PP+26prhwGjqdjunTp9O1a1fqP1am2b59ezZs2oRVp3Na7qC7cQNEIrIyM1m7di3vvffeI4Yv+/btY+rUqUyZMoUXX3yRL774gg0bNmCIi3PI0KIsBIuFvDNnAPuuit/AgUi9vdm2aRPHmzfn4P79NChB2GDo0KGsWLHCebHYbPYHY5EIo9HI6DFjWPr77/Ts2ZOTJ08yZ84cPvvssxLHe3l5MWfOnErHURLlToIjIyNRqdWYkpKKN8kowK1mzX8XZjtI/o0bZPz1F6bkZKR+fihr1sSra1f7RVgsxqbTYUxKwnD/Pmlr15Lx1194demC71NPFTWRGJOTHapvcxTBZkNz8iRZu3djMxiQBQTgVqtWsc1m+rt3SV60CGmBPJJHq1bIg4PJOXwYm8FQIfmgkrCZTGTt3k3u0aMgEiFxd0fdqFFRpzk2G+bMTLu4/40baE6eRBERgf+gQSX6gIuVSvxeeIGTv/3GggULGDp0KFOnTnXoCSw6Ohq9Xk83J4l9u/h7oVKpmDp1apkPWwDnz58nPT2d3r17k56ezgcffMCKP/7Ahr1RVBEZiTw4GHGBC6MpLQ1jQgK5J06QvX8/qgYNCBg82K5T6eFhX6WoIgwF24BZu3aRumIFNr2+6DWRVIo8NBS3mjXxbNeuqHxM5udXoabi0si/eZO0NWuw5uXh3qIFXh06oIiMfKJMq1CeSBMdjSY6mtyTJ/EfOBDP9u2RBweXaCFfiHvz5nYjjwpgTEwEiwU/b++i7VIXLpyBt7c3K1asKPYBe+TIkUyZOhXN6dP4dO9e6XMJViuakyfxaNMGiUrFRx9/zLYdO9j2119FevvHjx8nICCA7777DpFIxOrVq1G4uZG9dy/BL79c6b99zalTWLVaZAEBdqe4gnu4W82apC5YQLfu3TkdHU21YhbG+vXrR1h4ODn79xM8blyl4gC7EYg1N5ewyZOReniQsXYtTz31FF999RXPPvtsicl4ITqdjm+++YZRo0bRsIyehIpQIdvkTl26cDE31ykfENjNIjI2b0Zz6hTKWrXw7dXLrhJRysXUnJlpX9U4csTuoDZiBIm//YZv7974OOCS5gjm7GzSVq1Cf/s27q1a4dOtW5mOMoa4OHIOHEB78SKqhg3x7taNpDlzHG4+cQRDbCypK1diyc7Gu1s3vDp2LFUWTrDZyL9+nay9ezHGxeHVuTP+AwaUaOOYumwZgVott2/dcvjLOHr0aBISEjh06FAF3pELF44zadIkjh07xhdffMGrr71Gnl6P51NP4Vlw0ykJm8mE9vx5svbswarV4vfMM4jd3EhbuZIaX3/t1B0ka34+mVu3oilYjVE1aIAyMhJFSAgiheJRi/QbN7BqtbjVrUvA4MFk7duHOSODiLffrnQcgiCQvXs3Wbt341anDoHDhzusM2wzGMjYsgXNqVOomzZF4uFB/o0bVPvkE6cnqIIg8GDaNJQ2G+djYhx6GHLhwlm8NHYsqzduJGzKFIdr5Esi++BBMrduJeL991GEhqK/e5e0JUto2bQpB/bvR6VS8fPPP/PRRx9x584dwsPDSUxMpEaNGpjNZoJefBGPFi0qfH5zVhZx332HW+3adi+Hx/IoS14eyTNn0rZxYw4eOFBsydHq1asZMWIEwS+9VGQJXxEseXnEff+9PZaxYwF7PpK9dy9Zu3bxzTff8FEZbnGZmZn4+/uzceNGBj9k0uMsKvTI/ky/fuhv3MBainSWMTkZrQP1fTaDgaR588iLiSHg+eftdcBlyK+BfbXE/9lniXj3XRCJSJw9G0V4OHnnzlGBvP4JTGlpJMycaffc/sc/CB41yiFLRWVkJMFjxxL88ssY4+JIW7MGiacn2rNnKx0TgO76dRJnz0bs5kbE++/j179/mbrIIrEYdaNGhE+ejN+AAWhOnCBp4cISa4Y9O3Xi7p07bN++nZUrV5KcnFxmXLVr135im8mFC0cxm82sXLmSWAdq0WrUqIFUKmXIkCGYQkIImzoVn27dSk2Awb6d79m2LZFTpuDZujUZGzfa9ccBvQN1746iu3aNuO+/R3vhAn59+1Jj2jRCX3kF3169UDdujKpOHdQNGuDdpQtBo0ZR/YsvCBo9GktODnEzZiCYzRhjY4tKnSpD1q5dZO3ejW+/foROmFAuow2xUkngCy8Q/PLL5F+/jjEhAUtmZpGCQ3Ho794l/86dcsepv3MHq0bD0t9/dyXALpyORqOhR48eHD16tNjXf/j+e9ykUtLXratU/mBMTiZrxw673GCB45pbrVoEvf46Z2NimDJlCmBfNAoICKB9+/aMHTuWdu3aERgYyICBA8lcuxZDBWtyrTodSQsWIFitSFSqYlUepB4e+A0bxpHDh1m8eHGx87zwwgsMGjyYzHXrMCYkVCgWm9FIyu+/A3ZXyEJEYjG+ffrg07s3H3/8cVEjfkm4u7uzZMkSh5SDKkKFkuCXX34ZMaCJji7xGN3Vq6StW1fqPILVStKiRZhSUwmbOBGvjh3LvcKgCAsjfPJklBERGOPjMSUnY7h7t1xzPI4lN5ekuXMRK5WEv/02Kgckwh7HvUkTwt9+GwTBvj1y7lypDw2OoL9/n5QlS1DVq0fYpEnlVt8QicX4dO9OyGuvYXjwgJRlyxCKsSRV1qyJ0seHHTt2MHr0aC5dulTm3NOmTWPevHnliseFi0KMRiOjR4/m1KlTZR4bEBDAuXPn8O7enaBx48ptaCFWKAh4/nkChg5Fe/YsEi+vCjdzPY7m1CmSFy1CERZG5NSp+PTsWebKkkgqxSMqioj338e7a1d0ly+DRELOiROVikV35QrZe/bg178/vr16VXj11r1JE4LHjcMYH4/YzY3cY8dKPDbn0CF7zXE50Rw7Rt369XnuoZulCxfOwmq1cvDgwRKbwoKCgli0YAHaS5fI2LSpQomwKT2dpLlzESkUeD/11COvKSMj8enfn9mzZ3PkyBECAgI4ceIEXbp04datW3Tp0oWTJ0+y6s8/iWrenJR589BeuFCu8xuTkkicNQurVovPU0+hvXKF+BkzMKWnP3Gsqm5dPJo357sffij2vYpEIpYtXUqTBg1ImTsX3bVr5YrFnJVF4uzZGOPjCR47tthrtG+fPsh8fTlx4gTGUiTZFAoF48aNK7Z0wxlUKAkODAzkpRdfJHffvhJXK2Te3mUWVWfv34/h/n1CXn211KatshArFIS8+ioyf39EcjlpGzdWuLFEEATS1q5FsFoJmzDBYbmx4pD5+RE2YYJdrFoQyPjrrwrPZTMaSf3jDxQREQS/9FKlhLVVdeoQ/NJL5F+7Rm4xN1qRSIQ0LIzLV67QsWPHojqm0sjJySEjI6PCMbn4eyOVSunYsWOZNt3379/n9QkT8GzTBr8BAyq1Le/VoQO+/ftjzc1Ff+sWhkpaMWsvXCBt7Vo8O3Qg5NVXy+1cKZbJ8B8wgKBRo8BmI+fAgQqvBlt1OtLWrrWXZDmhPEzdoAG+vXphMxjQxsSUuNorDw4u98N5/o0baC9d4sMpU1x1wC6qBE9PT27cuFGq5N7zzz/PwIEDyT16lNQlS7Dk5jo8v/bCBRIKJNhsRiOJM2dizsx85BivTp1QRUTw9b/+BUBERAQrV67kxIkTrFy5koiICNRqNfv27uWZvn1JWbaMlKVLy6zDt+TlkbljB/EF7rDhb76JX9++RE6ZgkgqJXH27CIJ2Uc+k06duHfnDgdLeGj19PTkwP79dGrXjuSFC0lduRJzGfd4m8FAzuHDxP3wA+aMDLsu8JYtxSp7icRiAkaNwmazsWHDhhLn1Ov19OnTh8OHD5d67opSoZpgsCc99Rs0QOftTdD48eXWwTUmJxP/44/4dO9ebgWJEudMTLT/Idhs+PTqhV+/fuWeI+/cOVL/+IPgl1/GvQyrYEfRnD5N2qpVAIS88grqxo3LPUf6xo1oTp0icsoUp2khp61fT96ZM0ROnfrENmnmzp3ILl0i1YFSCIBXX32VK1euOLSS58JFRRAEge49e3LiwgUipkxxSqOpYLOR+NtvGBMSkPr6Evn++yXWypeGJSeHuO+/R1WvHkEvvlhpXfDcY8dI37ABRXg44e++W+7kMGPrVjQnThD54YeVepB/GMFqJf7HH7Hk5BSVY0kKhP4rilWnI+mnn+jYogX79u51JcEu/quMGDGCq1evcj82Fp3RiHeXLni2b1+kkPIwgs1G/s2b5B45Yrchb9qUwKFDsebnk7xwoV3mdfLkR8YW5gK3b9+mdik9QoIgMHXqVKb/+CPYbCiqVbM35BdarJvNmFJTMcTGkn/jBiKxGO+uXfHp3fuRBTKLRkPCzJlIvbwImzTpkeuSIAjET5vG1Lfe4p///GexceTl5dGxUyeu3bqFgD3Jdatb99+xqFT25uPUVIyxsWgvX0YwmfBs1w7/gQMxZ2SQNH9+0fmLu2anzJtHY19fTpaw86XVavHw8GDVqlUMHz68xM+solT4Su3t7c2ypUvJv3XLXkfz2La6zWDAnJ1d4vicQ4eQenri60RbTEVYGN5duiCSycjeu5fc48fLNV4QBLL37UPVqJHTEmCwa4Qqa9ZErFaTsmIF+nKWa1i1WjQnT+LTq5dTzUD8n3kGkUxmV5h4DLFcjl6vJzY2lvz8/DLnEovF2IoprXDhwhEEQSA2NhZtKVrg0dHRHD54EP8hQ5ymtCISiwl84QUEsxlzWhrpGzdWaCs0fcMGRDIZAUOHOsUYx7NjR9zq18eYlETGli3lislmNqOJjsajbVunJcBg12D36dkTm15vv9EvWPCEZJpVq8Wi0Tg0nzU/n5SFC1GJRC41CBdVik6nw8PDg3VllGh+//33fPfdd+jz85F6e5Nz5AixX31F7LffkrJiBekbN5K+fj2Jc+Zw/7PPSF6wAGteHsEvvUTw2LFI3N2RBwYS9sYbIBKRunz5I7mRe/PmiCQS9u7dW2oceXl5LF+xAnXdugS99BJST0+0MTGkrlhB8oIFpPz+OzkHDiCYTPg/8wzVp03Dr3//J3aIpZ6eBI0cieH+/SfKmEQiEbLwcE4XNO8Wx/vvv8/1mzcJffNNqn/5JYEjRgD2/C150SISf/2VpDlzyNi8GVNKCt5dulDts88IHDYMsVKJIjyc0AkTMKWnk7F16xPz5x47hu7BA6JPnSrx2q9Sqbh06RJPP/10qZ9ZRSn/ksdD9OnTh6VLlzJ27FhsWi3+w4YV1X5oTp0ic9cuan333RPjrDod2vPn8endu0KrLqXh1bkzOYcP41anDunr12POzMS3b1+HygcMd+9iSknB38kdiCKRCO/OnUlZtgxFZCRJ8+fjP2QInm3bOnTh1xT4ZldEe7M0xEolnm3aoImOtn9GDwn0C1YrUqmU6tWrs3nz5hItHwupSh0/F//7WK1Wqlevzu+//87Ygi7ix5k9Zw5Kf/8yrXvLizwoCLd69TBnZKA5eRKRRIL/4MEOJ7PGpCR0V64QNHq00xQmRCIRgcOGEfvVV+QePgxWK/7PPuvQ9TL/6lVsOh1eHTo4JZaHcW/WjIzNm3GrV4/8a9dImDWLoFGjipqA0jduxKrVEjZxYqnzGBMTyfjzT+R6Pfv27auyej8XLoCi+2xZCzWhoaEMHDQIeWAgoe+8g2CxoL18GWNcHMbERLsJhliMzNcX765dUdWrZ5cafOw+LvX2JmjUKBJnzybnyBF8CqRDxXI5qtBQzp07V2ocy5YtIz09nYjx45H5+uJRoNBg1evtFsQSCRJ3d4fyB7datfBo25bsAwfsfVcPaZNLfX2JjY3l2LFjJCYmIggC/v7+tGjRgsuXL7NgwQICnn++6Pvt2aYNnm3aIAgClpycolhkPj4lXpsUoaH4DRhAxoYNeLRsiVutWv9+USRCJBZjEwTOnz9P3bp10Wq1yOVyQkJCkEqliMVimjhxUfJxKp2BjhkzBh8fH14aN46kH37Aq18/PKKi7CL0Jaxe5N+4gWA249mmTWVP/wQyX98ieTW/gQPJ3L4d3bVr+A8Y8IiJRXFoL11C6uODWxV0J6ubNEGsUuFWty6KkBDS16yxd4/361dm7bT20iVUjRpVWrqlODzbtiXn4EH0d+8+ovtsSkujTmQk2ZmZDq3wSp38MOPi70VZNymbzcamTZtQdepUJRbknm3bkrp8Ob4DBpC1bRvGhAQCR4xAXozT0+PknjiBxMOjUlJCxSHz8UHdtKl9FefECfS3bxMwfHiZ1sSG2Fikvr4OxV5eRFIpbrVqYcnJIWzSJFJXrCD+p5/w6dEDr86dyzQfseTmknPkCJrDh2nYsCFrVq+uEu1PFy4eRqVSkeeANfKAAQO4eP48YW+9hUgqRSSV2i3MK2Bj7larFp7t2pG9bx/enToVJYkif39uF+wGJyUlcefOHcxmMx4eHjRq1AiVSsWs2bNRN2nyRJmixM0NKlCC5N25M3nR0eiuXMG9WbMiuUjtpUvc0GiKVWhQqdUow8LwLGbxTSQSFVsiUhJeHTqgOXWK7AMHHkmCPdq0AYmE9DVr6Nu/P7qHfkcKpZJmzZrxTP/+/Pjjj8ydO5cRBSvRzsQpmcszzzzDjWvXePPNN1m7di0527ahbNaMgOeew5iUhESlQrDZsGRlYYiPR3P0KBIvL6Sens44/RMoq1dHc+IEIa+9hqp+fdLXriV50SIkXl54REWhjIhAHhr6qJh+fDx5Z86gql+/SrblRBIJiogITElJhI4fj7pZM9LXryfh559RhIejbtIERUQE8oAARFIpNpMJU1IS+gcPMMbHFz0JOhtZYCBiNzeM8fGPJMHWxETaDxlCTEyMQ/NMmzaNM2fOsL2iVtku/taICxzVSuL27dvotFq8ykgAK4qyYF5FYCBhkyaRtno18dOn496yJV4dO6KIiCj2umAzm9HGxODZrl2V2KN7tmmD7uJFgl95hezdu0mcORNFZCReHTqgrFnT3gxcEJdgs2HOyEB39SqK8HCnx1KIIiIC3d69yIODiXjvPbJ27ybn0CGy9+9H3bgx6saN0d+7V3R9t2g0GOPjMdy7R/7Vq8jlcia98QZ//fUXukoq5rhw4QiCIHDz5k1CQkJKbfS+dPkyysjIMh80HcW7a1c0J0+ivXjRvjiIvVT0emIiAUFBZDymViEWi6lRqxZ3b992mg8D2EtF5cHB5N+8aRcPWLMGq0aDql491H37ooyIQOrri0gkwqLR2I3LNm0icMAApyw6iMRivDp1In3tWsxZWUh9fMg7c4aMv/7CptOhrFkTee3aeBTWPBfUGV+LjeXc119jNZtZunQpAwcORO1kR2CnLd8FBASwevVqvvnmG+bPn8+6DRu4X4zskEKpRKVUYqnC7S9FWBhWrRZrXh6KkBDCJk8mceZM3PPzkVy/TsqBA0+M8fT2RmS1Vu3NIywMbUFSqW7QALepU4mbNo1QuZyMEyfIKqYb1T8gAGw25FUUl0gkQhEW9kgHqik1FX1KCl26dHF4nqysLBIqqCfowkVZD54XCzTHq+r7KfX2RqxWY0xKwrd3byLef5+cw4fJ3r2bvNOnUXh5IQ0LQ+rvj0giwWYwYE1JQZ+QgM1sRlmjRpXEVZicC0Yj4W+/je7aNdJWryZt9WoAZCoVsoISNJNGg0WvB4mkQs23jiLz80MwGrEZjUjc3PDr3x+b1Ur+8ePUkUq5tn07psc0yOVyOU2bNePFn3/mxRdfJC0tjV9//RX9Qw56LlxUFTabjQYNGpRabqXX60lJScHPieWQ8qAgFJGR6K5dw61WLdLWrSP/+nVMXl64R0URXK0a8qAgRBIJVr0eY2IiiQWeAs6wLH4YRWQkuitX0Jw8iVu9egS88QbygIAnY1Yq7VrgIhHuZVjYlwf3Zs1IX7OG/Bs30F29Sv61aygiIzHm5xP+5ptPHF+4KGfV6cg9eZL9e/fSuEkTtmzeTNOmTZ0Wl9P3sGvWrMn3339P48aN+fTTT/nzzz/Jy8tDIpEQEhJC/fr1adu+PXeqcPu8UDTfZjCApyfmjAwMsbEsWL6cMWPGkJqayvXr19Hr9cjlcmrWrEm1atWQSCSIyxDcr1RcavUjjSS6y5ex6PXs2L6devXqcf/+fe7du4fZbEalUtGgQQMePHhA27ZtyzQCqAzix+LKPXECX39/nnrqKSIiIpg9ezYDBw4sdY4333yTMWPGVFmMLv73qV69Ol999VWxf0eagmarqvp+ikQiu7h8wfdALJfj0aIFWTt28NVXX2E0Gjlz9iz3HjzAbDbjrlbTrEMHVCoVCxcudMhIpyJIVCqkvr4YExPxiIpCrFBgy89n0aJFhIeHc/78ebKyshCJRPj5+dGyZUteevll8qugZKSIwrkLSlesOh36s2d55eWXUalURIaH89VXX5GZmYlIJMLX15cGDRoge6gvQyaTcfDgQafezFy4KAmxWEy3bt0IKkW+7+LFi9isVhROTj6V1aqhvXyZuO+/B5mMgBEjcG/aFMljzb0yQBkRgWA0YoyLQ+LEplYAWUAA1rNn8X36aRTVq2NOTcWSmYksKAipt/cjCxHG+HhkAQFOa0AGeymHzN+frJ07ESwWgseNw2YwoDl1CpvRiFihKH6cWo3vU0/h3rQpqStW0KlLFw4fPEiLSrjqPUyVZaL5+fkkJibSsWPHJ14ra+uzshTOXbiMn71zJ77+/gwdOhSwC2M//mUQBMH+R1CFcWGzFd1AbCYTmr176d6zZ5HTWs2aNalZs+YjQ+IKtUurUnnBZiv6rMwZGeiio5ny3nsolUoSEhIc2rJ0uTy5qCyJiYkldggXWXsKQpl1pxXmsbm1Fy8ik8t544038Cmh/m3NmjUsXLiwSh9SC5Nzm8FA5tq1dOnalXHjxiEWi+lTjLqOt5cXWgcUXSqKLT/f3tBS0EibuXkzCrGYzz77jE8//ZT09PQyk1uVSkW3gmYhFy6qGpFIVKIebiG3C1wjy6tzXRpCwTXFmpODyM0NQacjfdUq0letQuLpaS+FbNAAj1atihJOwWZDJJE4tSzTlJZG/vXrIBKRtWvXE6+L1WrcmzTBq1MnFGFhWHJykJWh2V4RJAWLkrKgIFKWL7d7KAD3PvoIWUAAyurV8WzbFmWNGk+8f3lgIMETJ5I6bx5P9+3L9WvX8C2HA2ZJVFkS/Oyzz9K4hC25sJAQrl+/XlWnxpKdDSIREnd3tBcukHf+PKtWrUJZylONSCTCPzDQPraKMGdnF6lnZO3ahSU7m9mzZpU6Jjg4uGhsVW0FW7KzkYeGIthsZKxdS0hQEB999BFKpZJjx45Rt27dMudYvXo1MTEx/PDDD1USo4v/fQ4fPkyNEsoKCr8HluzsKrk4C1Yrltzcou+nYLOhO3WKESNGlJgAw7+T8yp/qBeJSFu5ErFez9Lff//3Q0ExtGjWjNhyykOWB2Nion2VSCZDc+oUmrNnWbp0KaGhoXz00UcOlThkZGTw7rvvMmXKlBLvEy5cOJOVK1fSunXrEu9nhSU8zlKsyr99m4yNGzGlpCD19UVVty6K8HB7zavVijktDUNcHOmbNpGxbRveXbrg27s3YqUSm9GIzWyulCkW2HfDM7ZsQXPqFGKVCu/OnVHWqIE8JASxUolgMtlddmNj0Zw5g+bUKXvjnNnsVOUuS24u6Rs3Yrh3D7FSiTIiAq8OHezXcrEYq0aDMSGB/Bs37OVnYWEEDBv2REmIxM2NwHHjSJw+nbfffpvly5dXOrYqS4KDg4OLblyP06pVK3bs2/fv1VcnU7iUb0pPJ33NGp4dNIgXXnihzHGtW7XicCUtl0uNKyEBRUQEeWfPknPwIN999x0NHmpGK46wsDB8/f0xJiQ4Vbu4EMFiwZicjEebNmRs2UL+nTv8tW8f7gVKFMWt5BdHTEwMmzdvdiXBLipMh1IkvQp9443x8VWSBJtSUxHMZhQREYC9JMiQkcGbkyaVOu7h5LyyxhHFIQgClqws9CYTtuxs/tqypcQHhUJatWrF6nXrsJlMj8geOgtDbCyK8HByT5wgfd06hg4dyosvvgg4viOk1+tZsWIFo0ePdiXBLv4jvPTSS/z2228lJsEeBQ/ANr2+UlKHgtVKxubN5B47hrJWLUInTsStdu0Scx1LTg45R4+SvX8/uitX8OnVCwQBU1JSpZx0jcnJJC9ciDU/n4DnnrM37xaT2Mr8/FA3bozv00+TFxNj1yU3mZA6YZUV7PbtqatWIZJICBw+HPcWLYq/LrVti2Czob91i8zt20mYORPf3r3tUroPfXZSb298BgxgxYoVvPfeezSrZN1ylRWOHT58mBEjRhQredS2bVvMOh3G+Hinn1cQBPJv3ULq7U3i7NlYTSZu3rzJ5cuXyxzbvl07jLGx2Erxsa4oVq0WY2IiNrOZ1D//BODI0aMlepkXIhKJ7HEVbNU4G/3du2C1or99m9wjRxAEgW3btmE0GrFarYwYMcIhu8I+ffrw9ttvV0mMLv4ejBs3jh07dhT7WnBwMGEREeTfulUl586/dQskEhRhYZgzMsjZto0JEybQqlWrUse1aNECkUhUJdcyAEtWFja9HnN6Ol5eXg5JET7zzDNYTSa0Fy44PR5jcjLG+HjMmZmkr1uHRKViw8aNTJs2DbPZzOLFi/n444/LnMfLy4uvvvqKWg9rhrpwUYV88MEHpSZMhSU8xsTECp9DsFpJWbaM3BMn8B88mLCJE1HVqVPqYp/U2xv/AQOIePddsNlIX78eJBL0lbjnG5OTSfztN8QqFZFTpuD1kERbSYgkEjxbtyZy6lQUERGY09LKbez1OHkxMSQvWYJbrVpETp2KZ9u2pT6Yi8RiVPXrE/722/j26kXWrl1kbNr0xE6bR+vWKLy9mTt3bqXigypMgh88eMDq1auLTYK7d+9OaFgYmhJs8iqD/u5d+y/v1i2U1aoR9sYbxGo0dOjYkWOPOaY8zpgxY7AZjeSVIWRdETTR0SAI6C5exKtzZ4LGjWPf0aO079CB+DJuoC+PG0f+/fuV+nKWRO7x44hkMnRXrxIwbBh+Awcyc9YsBgwciF6vZ/Xq1dy7d6/MeXr27MnEMgTyXbgojQ0bNnDz5s0SX39l3Djyz59/wqWssgg2G5oTJ3Bv2hSb2UzSggV4eniUaCX6MO7u7tRr0AB9VSbnQPArr2D086NPnz588sknpZZf1K5dm169e6M9fvwJJ8/Kknv0KIjFmNLTCRozhmrTpuHVsydfff01Q557jtOnT7OrmJrDx/H09OTTTz91JcEu/mN8++23tC/FcKpu3brI5PJKJX4ZW7eiu3qVkJdftrvXlqNBVREWRtibbyItMJ7IqeD312YykfL770i9vQmbOPEJreGykHp4EPr66yirVSN5yRKsFZQxNMTHk7pyJR5RUXY3vXKsroskEnyffpqAoUPJPXr0CfdfkUSCqlUrVq1ZU+lStCpLglu2bMl3331X7BOQVCpl4oQJ6M6fx5yV5bRzCoJA9t69IJHgN2QIoa+/jlvNmoRMmgQhITzdt2+pK8LVqlWjX//+5B05gs1sdlpcNoOBnMOHEUkkhLz2GgGDB+PRtCkhb75JYk4OPXr2JLcYebRCBg4cSHBICDn79zstJrA/LequXEHi7k7kBx/g1b49Pt27Ezx+PAcOHWLEyJF8++23RBXoG5bGmTNn+LNghduFi4rw5Zdf0qlTpxJfHz9+PDazmZxibL4rg+7SJczp6bjVr0/irFlYcnLIysykQ8eOnDp1qszxr778MrpLl7A4IMZfHgRBIPfYMVQNG+LeuDHB//gHfs88wzfffMOUKVNKvfh/9OGH5MfFoSlGprKiGB48QHPqFMoaNaj24Yd4tGyJWCbDr29fgl95hZ27dnHl6lUmlVFCAvbG6QULFhAbG+u0+Fy4KI0PPviAQ4cOlfi6WCymW9euaE+dQiho2CoP+rt3yT1yBP8BA1A3alShGCVqNaGvvoqooJlOEx1d7jmydu7EkpND8EsvVbhhVyyXEzx2LILNRvqmTeUeL1gspK1ahSIkhMDhwyusNezVoQNeHTuSuXUr5oyMR15T1qyJJieH+/fvV2juQqosCW7SpAlTp05FUoKA/JtvvklwYCCZa9Y4bbUi7/Rp9LduEfjCC/h07lz0wYuVSoJefhmbpyejRo/GXEqC++0332DNyiq2g7KiZPz1Fza9nvB33nnEkELm70/Q66/zICGBd955p8TxUqmUGdOnk1fg8OIMBKuVtJUrkXp5ETFlCvKH6rdVdesSOGYM27ZuxcfHxyEZo7/++ouPPvrIKbG5+Hvyzjvv0LoUZ6bw8HDee/ddsnfvxpSS4pRzWrVa0jdsQBYURPqaNSAWEzllCpFTppBoNNKxY0d+/vnnUucYO3YsUomEnFJusBUh/8YNTElJeBXU5YtEInx69sR/8GBmzJhR6kNn9+7dGT9+PNlbt2Iqo+TKEWwGA6mrVqEIDydswoSiBsJC1A0bEjBmDCeOHy/1+lqIVqvl9ddfL9J/duGiqpk7dy4XyigRmj59OmaNBo0DD78PIwgCGZs3o6xWDa9y6OsXh9TbG/9BgwBI37SpXAuFlrw8co4exadXr0o7Rkq9vPB/9lm0585hSk0t11hNdDSmlBQCR46stImQ34ABSNRqMnfufOTnhVbOV69erdT8VZYE37p1i99++63EC6KnpydLf/8d7a1bZO/ZU+nzGeLjSd+0CY/Wre02h48hVirxGz6cK1eu8P3335c4T+PGjZk2bRq5hw6hq+SHC5B37hyakyfxHzQIRUjIE6/LAwLwGTiQ33//nT2lfA4jR45kwMCBZK1bV+mbmiAIZPz1F8akJPs2RTGqGerGjfFs1443J09m3759Zc5Zp06dcplruHDxOIsXL+ZcGaVIX375JUFBQaQsW4a1kkYLgsVCyh9/YM3Px5yaine3bkS89x4yf3/kwcGEvPkmnt268e677zJ9+vQS5/Hz8+PTTz4h99AhDIWShpXEZjCQvnYtbnXqoHqseda7Sxc8WrZk4qRJJCcnlzjHjBkzqFGtGqkLFjyxilLeWJIWLsSq0RA0alSJNzX3Jk1QNWzI5Lfe+re0YwkoFAr69OmDv79/heNy4aI8rFixgn79+pV6THx8PK1atSJ727ZyJZ/G2FiMCQn2Ji4naHR7tG5tL4sQiUhasABLgU56WWhOnbK7sznY0F4Wnq1aIXZzI+fIEYfHCIJA7vHjqBs3LkpUK4NYocC7Sxe0Fy8+sttWqCucX0k5yCpLgmNiYnjzzTcxltJk9tRTT/Gvf/2LrN27ydq1q8K1HYbYWJLmzEEwm5H6+JS4laGMiMCzY0dm/PRTqTI+U6ZMYeDAgaQtW1aplVfNmTOkrlwJUimiUjrHPdu2RVWjBv/69tsSjxGJRPy+ZAk1wsNJnTv3EYe38iDYbGT+9Re5R44gKVCAKAm/gQMxm0ylJgCFvPjii6xYsaJCMblwAfDhhx+W+iAI4Obmxr49e3AzGkmdN6/CJQg2k4nkJUvQ37qFLDCQyI8+wn/AgEckiUQSCf4DBuDTqxdTpkxh9+7dpcbetFkzMlaurHRZhGC1krpqFVa93r6VWExJmf/gwRisVqZNm1biPJ6enhzYv58wb2+SZ81Cd+VKuWMxJiYS/8svGB48wK1+faRlCPhLfXwwm81lrp57eXmxa9euUhVBXLhwJoMHDy5T7vPo0aNkZWUR5O9P2uLFWEvQLX+cvJgYpN7eqOrVc0aoiMRiPNu2BUHAmp9PwsyZDtUq665eRd24sdN0y0VSKR6tWpF37pzDggHmtDRMycn2+J2ER5s29p6qh8pZC0tWFSWYbDhKlSXBYWFhPPPMM6XqWQJ89NFHvPvuu2Tt3k3KvHnlevoSLBYyd+0i4ddfkQUF4dmpE9l795K8eDG2x2w7C/Hq3Jnc7GzWrl1b4rxSqZS1a9Yw6NlnSfn9d9LWri1XM45VpyPljz9I+/NP3Fu0QNWwIWkrVpCxbVuxib5IJMKjUyeOHDpUqn6yn58fhw8dom5kJEm//EL2wYPlKiUxpaWROGsWOYcP4/3UU0i9vEj49Vfyzp8v9niJmxtSPz9OnDyJoYz3n5GRUWpTkwsXZfH000871CgVEhLCkkWLUBkMJE2fjracW+r6u3eJnz4d/Z07qJs2xZyaSvr69SV+x3379sW9Xj3GvfxyibX7MpmMDevW4SESkTp3LuYK6o3bzGZSVqxAd/kygcOHl9jUInF3x71jR5avWFFqP0F4eDgnT5ygZ6dOJC9eTOry5Q412Jqzs8nYupX4n34CQcCzTRvyr10j7ocfSlXoUIaHIwsJYdGSJaWa7FitVq5evVpq7C5cOJO+ffvyxx9/lHrM8OHD+eWXX9i7Zw8qs5mU337D4IDyiyEuDmXNmk5ZBS5EWasWgtlM0MiRSD09SZw9m9TVq0tcABOsVkyJiZWSVSs2jmrVEIxG4mfOdGjxrXA3TPmY8VdlkKhUyIODH1HhMRXsghWajVUUkVCVKu8O0qBBA+rXr8/2nTuxWK14tGqFZ4cOKMLDi10FsWq1aM6cIff4cSzZ2fg89RS+vXohkkrJv3mzSJIj5JVXit26S549m54NG7Jly5ZS4xIEga+//povpk1DpFTi1bEjnu3alXhjMqWnozl5skgJwn/wYDxatUIkEpFz6BAZW7bg07s3fn37Pnkui4XYzz/nn599VmZtrV6vZ/To0WzcuBFZQABenTrh0apVsU9/giBgjI0l9/hx8s6fR+brS+Dw4bjVrGmvC161iryYGILHjStWh9iYlET89Ons27ePnj17lhjTN998w8yZM0ktZ+2QCxflZc6cObzzzjvExcXRuUsXbt+6hbJGDbw6dcK9adNipYAEm438mzfJPX6c/GvXUFarRuCIEcgDA8m/c4fkRYtQhIcT+tprxUr4mLOySJw+nSnvvsu//vWvEmO7efMmPXr2JD07G59Bg4q+/45giI0lddUqzOnpgN25KmT8eGQlmHVYcnOJ++or5syezeuvv17q3IIgsHz5ciZNnoxWo0EREYGqXj0U4eFIvb3trlY6HcaEBAz375N/4wYiuRzvrl2Lrq3mzEzSVq9Gf/cugcOH49mmTbHnMqWnE/fNN2zevJlnn3222GM0Gg1eXl6sWbOGYcOGOfT5uHBRGfz9/Xn//ff58MMPHTr+9u3bPPf881y5cgWvLl3w6ty5xHv/3alT8e3TB58ePZwWr1Wv5/7HHxM0ejTuLVqQe/QomTt3IhiNqEJDkYSHIwsIQCSR2CVY799Hf/8+oa+/jqqSieHDGBMTiZ8xA6mfH5acHLzatcOzY8diyzsBUletQn/rFtW/+MJpMQCkrlyJKT2diAIp1qw9ezAcOUKeRlPmYmtpVJlZRm5uLvfv36dx48Zlaluq1Wpi4+KwCQIeBSsOhQ4nivBw+x+eWIwtPx9jYqL9JiGR4NG8Od7jxqEICyuaS1WvHiHjxpG0YAHZBw/i+9RTT5xPFhnJ6bNny3wPNpuNv7ZuRe7tjbxOHXKOHCF7716k3t4oIiKKygksBW4n1txcxCoVnm3a4N2t2yNbh97dutlXrrdvx61mzSe2TURSKYrwcM46IM+Wl5fHgUOHcKtRA7GHBxlbtpCxeTOygAAUYWGI3dzAZsOcmYkxIQGbXo/U1xe/vn3x6ty56CYvkkgIHDkSm9lM2p9/opgy5YkbriAISBQKzp07V2oSrFAocKsCswAXfx+uFdhglmSyU4hcLkelUnHy5Elu37qFR5s2mDMzSV2xglSJBEVICPLQUMRyOYLFgik1FWNiIoLJhDw0lIBhw/Bs06Zo1UZVuzahr71G0rx5ZG7bRsCQIU+cU+bri7p1a+YvWMDnn39e4hZcvXr12LVzJ+3atyftzz/JPXrUnpw3b15sci3YbHaN7uPH0V25giI8nIj33wcgedEiEn/7jfA337Qnqo8h9fLCLTyckydPlpkEi0QiNBoNWo0GdfPmCBYLmjNnsD5W7y92c0MRHk7A88/b1R8e6heQ+fkROmEC6evWkbZ6NWK5HPfmzR8Zb8nNRbBaUXh6cvbs2RKTYIlEglqtrtTNy4WL8nDu3Dm8i/kePczixYvZs2cPa9asoU6dOpw7e5bvvvuOH2bMIPbwYdS1aiGLiEAeFIRIKsWan48hIQHBZLLfd51I4XfPZjTa63y7dEF78iQdGjWidu3aRJ85w/3jx7FarXh6etK8Th0O3b+PqJIuc49TOF/gsGEYYmPJ3r+f3OPHcQsIQBIairQgZ7BkZ2NNSkKfnu5U6+lCCh3uoOC6ee4cgwcNqvQ1pMqS4IMHDzJ48GDS09PLbH6YMWMG3bt3x3/wYLy7dEGwWsm/fbuo2NyYlAQ2G2KlElX9+ih69ULdoEGJNa2q+vXx7t6drF27UDdq9MQTiyIsjJQDB8jKyirVe/qnn37i7NmzhL35Jm41ahAweDD5169jiI/HmJDwb3tmtRrP1q3tqyv165coBu3dowf5t26RtmYNkVOmPHKDAZCGhhLjgMD9hIkTyTebCR03DqmHB5bcXPJv3LB/VsnJCOnpIBYj9fLCu3t3lNWr41arVrFbNSKxmMDhw4n7/nvS164l5LXXHlm5Spw1C5m7O5fKqI1+7733eO+998qM3YWLkujTpw8vv/wyX375ZanHvfrqqwwePJj6BdJhhXWzppQU8m/dwpiQgCklBcFiQSSRIPP3R924MW61aqGIjCx2ZdatZk38+vcnY/Nm3Js1w62Ysgyvjh2JO3qUbdu28dxzzxUbm9ls5sWxY7EqlQQ++yzamBjSVq0ibc0a5MHBKEJDESkUYLFgSkv7d3IeEvJvV6eC3auwSZNInDWL5MWLCX/77WJ3tSShoZw6fRqwP7BqNBoMBgMKhQIvL6+i93rp0iXefe89vLp0IWDw4KLxFo3GXvcoCIjd3IqacUpCJBYTMHQoNoOBtDVrUFav/kiCnnvsGHnnz6MIC+N8CWVWYF/40DpYb+nChTOo5kCZQGxsLCcfkhWUyWR89tlnvPvuu/z555/s2LGD6DNnSD54EACJVEqDhg25KhYjWCzODbigt6lwZ8tw/z6G1FQ+XLGCXr16PXF4QkICERERTtdRL5xP7OaGV/v25B05QveuXWnYsCGnz54lOSEBgJDgYNqMGsXdu3fZX3BNcibCQ1bOuitX0Kel8YYTvAmqLAlWKBT4+Pg41Oz20ccfoyrYzgT7CqW6fn3UlVjS9336aXSXLpG9Zw/BL730yGuFZQN5eXklJsE6nY5/fv01Xp064VZgUypWKHBv3vyJ1Q9HKUw4Y7/5htxTp/Dp1u2JuPLK6AI9f/48GzdsIGjUqCKZIqmXl70IvYKF6BI3NwKee46UJUsw3L+P20O1PBKVCkEmQ+Ngd6oLFxXF29vb4SaH6dOnk5uXR9jEiUVJmzw4+BGpv/Li1bkz2gsXyPjrLyKKkSyU+fuj8PFh4cKFnD59GoPBgEwmo2bNmkRFRdGsWTN+/PFHLl64QNhbb6GMjMSzdWtM6enob93CGB+PKTUVm9lsT859fVE3boyyZk2U1ao9kXzKfHwIHjuWhJkzyT5wAN9ibnwSLy/ux8TQr18/Tp89S2ZBKQWAt48PrVq1omuXLqxavRpZQAD+AwY8Ml7q6YnU07Ncn1NhIhz3ww+krV1L6Guv/fs1mQyxUolYrSYzK4v09HRiYmJISkoqWrFq2rQpdevWda0Cu/iPUr16dV599VU+/fTTEo+ZPHkyY8eOfeLnarWa8ePHM378eABMJhNmsxmlUolEIqFu/fpOLwUslIGU+fvbFRf276dGrVol7siGhYXh7umJMSmpwjrFxWFMTASRCFlgIBlr1uAmlbJs2bISd+wWLFjAtu3bnW7bbkxJQRYYiDU/n+xNm+jz9NOlmp84SpUlwX379iXLgSa3ixcvcurkSYLHjnVqUblYJsOrc2cytmzBkpv7SGlCYWJ+6tQp1qxZw61btzAajcjlcurUqUNUVBQ3btxAm5dHtccS1coi8/XFvVkzNMePP+koY7MhArZu3cq5c+eIjY3FYrGgUqlo1KgRrVq1YvHixSh8fXFv0cKpcakbNUIWEGDf5ngoCa7++eckL1yIwWBg9erVxMTEkJqaiiAIeHt706xZM1q1asWRI0eYMWOGS/zeRYVxxNocYMmSJfwwYwaeHTuWqVZQHkRiMT49e5K8eLG90SUyErBv8WtOniT31Cmsubns3r2bI+fOIZLL7ZbjGRkIVituajVGvR6v7t2LxoJdBlEeEFChmJSRkfj06EHW7t14tm5dtOpq1enI3LYNzZkzIAgcuX8fefPmBAUHI5bLsZnNmFNTOZWQwIEvv8RmsRD+1ltlWqc6ikSlImDwYFKWLn3ks/Lt3RvPdu1Imj+f89nZBJagVapSqzGbTHzyySd8/vnnDtdNu3BRUTw8PJCXkZT5+/s7JNsnl8sfmatt69ZsLIeMmCMY4uJAJEIRFkbe2bNor11j5ZYtJT48ikQiWkVFccYBh9dyxXHvHvLgYHIPHybv/HlWrlxZaslaVFQUgs2GMT6+2B21imAzmTAlJeHetCnpf/yBzGZj8aJFTrluVFkS7Ch//vknErUadePGTp/bo3VrMrduRXvhAt5duwJ2l7TsfftAJGL48OFIFQoUwcEgk4HFgnHVKix6PWKJBFW9euW2HHQErw4dSIyJwRgXh7J6dQRBQH/7NprTp7Hk5DBw4EDk7u7IAgJALAajEf2SJdgsFkRiMd69elVagPpxRGIxnu3bk7l9O7bhwxHLZAhWK9oLF9Dfvcvea9fYu3cvSj8/JAU3YkGnI/+330AQ8AsIQKvRoNFo8CznypILF+UhJiYGwWp1mhbmw6gaNkTq7U3emTMowsPJPX6czG3bAPCIisK9ZUuU4eGPlDLZzGZMyclkbNmCEB+PTym18xXBu0cPco4cQXPqlH2H68oV0tauRbBa8Xv6aTzbtStV7jBh9mwEkwll9epOjUvdpAlSHx9yjx9HGRmJYLGQtWcP2QcOIBKJcG/ZEu/69f/d1yESYdPrMSYmYnjwANOpU0ybNo29+/ezdMkSateu7dT4XLh4GEcesn/44Qfmzp1bbheyZ555hj/++ANjcnKJDWPlJe/MGdxq18aYnEzWhg2MHDmSgQMHljpm1MiRHHrtNcxZWU7JXaz5+WgvXEAeGkrWzp189dVXjBw5stQxzZs3JzQ83B6/k5Jg7YULCGYz+qtXMScksGP7dsIe6gWrDFWWBO/bt49BgwZx8+bNUoM9dfq0vV7VyUkd2Lf55WFhGOPjsZnNZO3aRc7Bg0jUanx698ajeXNkgYGPrMYKNhum9HQSZszArYouyspq1UAiwRAfj9TPj/T169FduoQsMJCAIUNQNWqE1Nv7kaccwWJBe+kSqStWVFlcbrVqgdWKKSkJkUxG2qpVGBMSkPr5EfDCC6jq1HniZmszGjE8eEBedDSmS5eoV78+ixctKlOU3IWLx2nevDkDBgzgq6++KvU4kUiEwsen0o5Ixc4tFuNWuzb6+/dJmj8f/a1beHXsiG///khKaHwRy2QoIiIwZ2baVVqc3CAjcXPDIyqK3FOnEKlUZG7ahKpRIwKHDi1zJdyq02G4c4fAF15wakxQ8ODcpg3Zhw7h3bMnqUuXYkpJQaxUUu3TT4tVq5Go1ajq1kVVty4+Tz1F/vXrnNuyhcZNmjDr11+LtptduHA2169fx9vbm5BSklSxWFyiy+3D7NixgwMHDqBSqXjppZcYPHgw/gEB5B4+TODw4ZWO1RAbi+HBA7y7dSN13jzatG7NwoULyxw3YsQI3n3/fbL37SPQCaorOYcOIVitCKmpzJkzhwkTJpQ5RiKR8MaECXz+5ZdYnn662Kbe8iBYreQcPoxIKkWek8PWnTvp4UQVjioryrLZbOh0Omxl6NjGxMQgDw+vqjBQhodjiIsj4aefyDl8GN9+/ag+bRp+Tz+NPDj4iRIMkViMSCRCsFhQVFFcIqkURUgI+devE/f99xju3SPoxReJ/PBDvDp1QlZMc4pIKi0yAVE46QnoceQhISAWk3P0KPE//YRgsSB2c8OzbVs8WrQodrVJrFCgqlfPHv8nn6D19qZ///689dZbZf7uXbh4GL1eX6q5TiFXr11DVoXXDEVEBKakJAxxcYT+4x8EPP98mYmtJTsba26uU2vxHkbdqBHW3FwyN23Cu1s3Ql55xaFSEGNB04ozNTsfRlmzJoLRSOLMmQhWK54dOiCSSh0S6xeJxagbNSL0vfdQtGjBa6+9xowZM6okThcu+vfvz2+//VbqMe+//z537twp9ZgZM2bQv39/Nm7cyG+//UZUVBQ3b97ki88/RxMdTf7t25WKU7BYSF21CrFKRc6hQwzo3589u3ahcuA7pVar+e6bb9CcPEl+JXX7jQkJZO/bR40aNbhy+bJDCXAhEyZMwM/Hh4x16ypsglZIzqFDmJKS6NShAzeuXXNqAgxVuBLcoUMHrl69WmrtiMViQavREFiF2+cST0/MWVlIPT2JeO89h7YqrAUi786sN3wiLi8vu15pzZqEjB1bpnsbgE2nQySXO32lqRCxTIbYzQ3tuXN4tm9PwJAhmDMzkajVDo2X+fgQNH48yqNH+XXWLPR6PfPnz3fV+7lwiG3btjlUSnP7zh0kTt7afxipjw8IAj49e2KIj0d7+TJYrYjkchQhISgiIpCHhDzyAF0o4q6IiKiSmArnlRVIIKb8/juW7GwEmw2xQmFXnihQp3lY5tCYlIRIoUBWRfbEhQsFgiCgrF4dY1wcYrmcuO+/R+LujiIiAmVkJKqGDUtskhErFAQMHYrE3Z0PPviA8PBwhjthNc2Fi4fp2rVrmSU3mZmZZGRkUK8E57eMjAymTp3Ke++9x/Tp09FoNHTs2JH333+fnTt3snrtWs6uWoXszTdL1PcuDUEQSNuwAXNaGj4+PsxetIjhJbhGlsQ//vEP1q5fz8mVKwmeOLFCzcLm7GxSliyhTt26XLl0qcxa6sfx8fFh0cKF9tLOffuKbep1hPzbt8nauZMhQ4YwZ84cgqpAeq3KkmB3d3caNmxY6jFFTwhVmSQVzB38yitYc3PJffCg6IZWJFn0eLPIf8A/RCQSIVIqCRw6FP39+1jz8opkihRhYXYR7MdWqYWH3k+VIQjIIyPtmoSXLmHT6+0ycB4eRcL6pUooiUR4d+mCWKlk4cKFNG7cmMmTJ1dtzC7+J6hTp45Dx5nMZqc20T6M/u5dcg4dAiBr+3bESiVSPz9EYjE2g4Hco0dBEJB6e+PZoQOe7doh9fDAnJWFSKEot9KCI9hMJvLOnQOJBHNiIjlZWSjCw1FERCCSSLDp9RgePEBz6hRgXzX27t4dt5o1seXnI1Grq+TzMiYnk7N/P4hECHo9hthYFOHhRQ/NlpwctBcukHPwIGI3NzzatMGnR49iPyORSIRv375YMjJ4fcIEunbtWuq2tQsX5eX333936Jivv/6anJycYl9PTk7GZrMxePBgRCIRXl5e9OjRg3379iEWi1mzahXtO3Qgdc4cAl95pVwJqM1sJn3DBvKio5kwYQK//PJLuZNPjUZDeno6f/7xB7169+bOnDn4jRxZLqUt/b17ZKxcSYinJwf27St3DIUMGDCAadOmMW3aNASzGd8+fcpV9qq9eJH0P/+k11NPcfnyZWbMmMH06dMrFEtpVFkSfOnSJaZMmcKSJUsIDQ0t9hiZTIZKrbYngFWAVacj//p1RCIRCQ9vs4nFULhVL5GgqlMHr44dUTVsiEgs/vdFPC+vUpJLJWHOyMBQkIzHffed/Ycikf1fQVwihQL3Jk3w6tSpSNtUolIhGI3YjEbElfTLfhxBEDDcv49Nr8eclET8998Xe5zEwwOPVq3w6tCh1NUlzzZtMMbHM2XqVPr16+dqenFRJhMmTKBp06ZlbrsF+PkRV4olb0WwarWkb9iA9sIFZP7++A8ahKpBA2T+/o8kkDajEWN8PHlnz5K9dy85Bw7gP2iQXZPYScoLD6N/8IC0VaswZ2bi3rw5Xp06FSunBnY9z7yYGHKPHSNx1iy8Ona0K1g4+aFesFrJ3r+frD17kHp54TdgAJ6tW5e4m2XOyCD35Ek0p06Rd+YMAUOG4N6y5ZMlXyIR/s89R+L06bz19tusXbPGqXG7+HuzYcMGwsPDaVuKlGi1atXoWtBEXxyRkZEoFArmz59P27ZtSUlJYevWrTRr1gywy5QdO3qU3n36cOenn/Du3RuvLl1KlQoTBAHDvXtkrl+PNSuLpUuX8tJjsq6O8K9//YvPPvsMQRDw8fFhwYIFzF+wgH3z5+PZujXePXuWamJhzsoi59Ahco8do03btmxcv77SzWeFxkKffPIJxlu38B0y5BHlnGLjyM4ma/t28s6dY8hzz7Hyjz+YMGECtZzUZPc4VWabfOTIEbp27cqtW7dKXeHp2KkTl3S6J7R8K4Ngs5Fz5AhZO3YgWK24N29uN82IiEBWuKpjMmFKTsYQG0veuXMY4+KQBQYSOGIEyogI7n38Mb5PP41P9+5Oi8tmMJCxbRuaEycQyeV4tm2Lqk4du/ucpycikQirXl9kXaqJjsaSlYVb3boEvvACNr2e+Bkz7OYdTqzxM2dnk7ZmDfqbN5F4eeHVoQPKGjVQhIURP306Hq1b49WxI8b4ePJv3ybv7Fls+fl4tm+P/8CBT5h+FL1fo5GkGTPo1aEDf5VhUe3CRbNmzejatSu//vprqceNHz+eP3ftItRJ5iz6Bw9IWbwYwWYrMUErDqtOR8aWLeSdOYM8JARTejq1vv/eaauuuSdOkL5+PYrISIJGjHDYhUmw2cg9dozMgpVsq05nj8sJzcc2g4HkxYvR37uHT8+e+Pbu7XDyb9VqSd+4Ee3583h17Ij/kCHFfla5x46RuWkTsbGxhFdh7beLvxcNGjSgX79+/Pjjj5WaZ8WKFYwbNw6ZTIbJZCI0NJSjR49S/aESLb1ezxdffMGPP/6IxM0NVVQUbrVrowgLsy9mWa12J8u4OPLPnyc/Lo4WLVuyYvlyGlWgr2DVqlWMHDmSqVOn0rNnT3766SeOHj3KpUuX2L9/Px9+/DFZGRl2x7tq1ezOsgVSiqbkZEyxsehu38bdw4MvPvuMd955x6EGQUeJjo7mxZde4tbNm6iqV8etaVO7aoyfn92yPS8PY3w8+ps30V29ioenJ7/9+iujR4+u8nLKKkuCk5OT2bp1K8OGDSvVqvDdd99l9pIlRHz+uVNuHhaNxq5d+eABXp074/PUU0WmEqVhiIsjfcMGjPHx9q7l27eRursT8sorlY6pcP6UZcuwarX49euHZ/v2ZQpJCzYbuqtXydi4EateT8Dzz5O+di0+vXsXawddEfJiYkhbuxaJmxv+gwejbtz4kd9D3rlzyAICHnl6s5lMaE6dInP7diRqNcFjx5b4dJd74gSZGzZw7949hxx7XPx9Wb9+PSEhIXQsQ/rsyy+/5Mt//pMa//pXiQ9gjqK/f5+kefNQhIURPHZshcoZtJcvk7piBYLFQsT776MoYeerPOSeOkX6mjV4deqE/+DBFbo2mtLSSJo7F4tGQ+jrr6OqW7dSMdlMJpIWLMCUmEjIq69WWP4o9+RJ0tetw7NDBwKee+6Jm5zNYCDuyy/5eMqUMt0DXbhwlFmzZlG7dm369u1b4jE3btzg3LlzjBo1qtS5YmJiOHLkCGq12q4MUcKu6N27d5k/fz5Lly0jPS3tidflcjk9n3qKSW+8QZ8+fSqceI4dO5bLly9z7tw5ALKzs/H19eWPP/5g1KhRGI1GNmzYwOrVqzl99iypyclFY/0CAmjdqhXPDRnCiBEjUDvYA1ReLBYLO3bsYPacORw5cgSDXv/I62KJhKbNmvH6+PGMGjUKj4fytq1btxIUFESbNm2cHleVJcGOcvr0adq2bUvIq69WurPakptL4m+/YTObCR4zptwXacFqJfvAAbJ27EBRvTrG2Fiqf/FFpRvkCuWW5EFBBI8ZU+4mFZvBQPr69eSdO4eiWjWsWi3VPv640g8NhTda95YtHeqAfxxzZiYpK1ZgSkkh9LXXil2dthmNxBfc0KZNm1apeF24AFi0aBHjx4/H/7nn8C5wmawIFo2GuB9+QB4cTOhrr1XK3Sj/zh2S5s3DrUYNwt54o8LzgL0rO/7nn/Fq3x7/YpLE8mDOzCT+55+RqNVEfvhhpeZK37gRzalThE6YUOSiWVEKrz2BI0fi2br1E6+nLF9OQ7mc6II6Zxcu/hPMmjWLKVOmoH8sQassgiCQmJjIpUuX0Gg0yGQyatWqRaNGjZDJZJWef8KECezevZsbN24gl8u5ceMGDRo0YMOGDQwZMuSJ43Nzc9Hr9SgUCrzL6POpCqxWKzdv3iQxMRGr1Yqfnx+NGzfGrYQcpFmzZnTp0oVZs2Y5PZYqk0hLSEjgq6++Iq2Yp5+Had26NcGhoeQeOlQpKQ2b2UzSggUIFgvhb75ZoVUKkUSCb69eBI4YgfHBgyK5sMpgzsoieeFCFGFhhE2cWKEubbFSSeCoUXh17owxNhZLZia6K1cqFZfuxg3S167Fq2NHgkaPrpDihMzPj7AJE1CEh5O8cCHmzMwnY1coUNSqxdFjxyoVr4v/fRYvXsz27dvLPK558+aER0SgPX68SDawvAiCQPr69YhEIkLGjq20vaeqdm0CBg9Gf+dOpaSJCuWR5MHB+A8aVOmbk8zPj6BRozCnpaE5ebLC8+jv3iX36FH8+vevdAIM4NWuHe5RUWRs2oQlN/eJ1xWRkVy8eBGLxVLpc7lwAfaa2dWrV5d6TFRUFO85qczqYUQiEeHh4fTr14/hw4fz3HPP0bx5c6ckwAAvv/wyiYmJ9OjRgw8//JA+ffpQu3btEi2Wvby8CA4OxqcYOdb/BBKJhIYNG1K3bl02b95McHBwiQkwwCuvvMJTTtr9fpwqS4ITExP5/PPPy/TTFolELFqwgPw7d8g7c6bC58veswdTaioh48fb60wqgWebNvj07g02GzkHDti9syuAIAikrV6NWKEg5NVXK9XMJhKJ8B80CLf69e1GFhs2YK3g06pVrydt9Wrc6ta11+VV4ksgVigIeeUVxG5upK1ejVCMNrA8IoKz585VWi/Qxf828+fPZ4sDteOtWrVi44YNmNLSipQcykv+zZvoLl+274A4IE/oCJ7t26OsVcvu5lZBjey8s2cxJScTNGKE0xrt1A0a4NGqFZlbtyJUMKnM3LYNRbVqeHXu7JSYAAIGDwax2O7g+RiK4GCMBgNxcXFOO5+Lvzfr16/naBmLWh06dODrr7/+D0XkPFq3bs3u3bsxm82sXr2apk2bcuDAAbyqUObVGWRkZDB//nwyMjJKPW7y5Mk8++yzVRJDlSXBAQEBjBkzxqFfQvXq1RkwcCDZW7ZgKiNpLg5TSgrZBw7g26ePU+rxAHx79bJrgcpkpPzxR4USzryzZ9Hfvk3gCy84RdtXJBYT9MILdlkkrZb0Ct5ss3bswGYwEPjCC06pw5a4uRH4wgvo79wh7+zZJ16XBQSgyckhr4pUQFz8b9C/f/9SO7cLyc7Oxmg08vbbb5O9axeGAo3e8pB79CiKsDDUTZtWJNRiEYnF+PXvjyUrq0KrwYIgkHvsGKoGDZxu1OPz1FPYDAY0FVhoMCYkYHjwAJ8ePZwqtSZRq/Fq397eaPuYSYqoYMHAYDA47Xwu/t78/PPPvP7666Uec+LEif9vJT27detGdHQ0Dx48YOvWrURUkWa5M6lVqxZbtmyhRhm7SzNmzGDVqlVVEkOVJcE1a9Zk+fLlRJYhhwHwwQcfYLNaqRkZSer8+eVOhHOOHkXi7u5UJQeRVIr/gAEIJhOWrCySFywoVyIsCAK5hw+jatAAVTk0+spC6u2Nd/fuiMRitBcukL5uXbkSYatej+b0aXy6d6+QmHdJqOrVQ9WwITlHjjyx4lvYlW42m512Phf/e3zxxRe84kAj6qlTp+jcuTNvvPEGzZo2JW3hQoxJSQ6fx5KTQ/7163h27Oj0rUBl9erIgoPJ3LGj3GNNKSkYExPx6tDBqTEByIOCUNasSebOneV+cNacOYPEy6tK3PA8O3TAZjCgu3z5kZ8XrlhXVKPUhYvH6datG03LeOi9ePEis2bNIiYmhuSC5rHk5OQK/78yY/8Oc3t7e9O6dWvu3btX6tglS5awbds2R3/V5aLKkmCtVsvBgwfRaDRlHhsYGEhwcDAHDxygRnAwSTNnoomOdmj73GYwkHf2LJ7t2ztdp9Otbl27MkKNGpjS0oj/8Uf0ZVgqFmKMi7Pf0CrRuFMSnu3aIdhsuEdFoYmOJnH2bEzp6Q6NzTt7FsFiwbNdO6fH5dWpE6bERIyxsY/83FawmuOI7aOLvy/nz5/n+vXrZR7n5uZGeHg4SqWSPbt3U69GDVJ++w3N6dMOXTP09++DIKBu3NgZYT+CSCTCvWlTTElJaMtZt2+IjQWRCDcHTUPKi6p+fWw6HSkrV5arltoYF4dbrVpOkVh7HJmPD7KAAAyPlT2YU1ORymT/X6xmufj/g7Fjx/LVV1+V+LrRaCQ/P59OnToRFRXF/PnzAXuZVkX/X5mxf4e579y5Q1RUVKljv/32W65fv15l5ZRVpg5x8eJFmjdvzunTp2ldTPdvSeTk5PDW22+zfNky1HXq4NmlS5GJRXHorl0jeeFCIj/80GEdzfKQuWMHmpMnCX3zTdJXr8Zw/z7uLVvi3aVLkYlFseN27iTn8GFqfvNNlbg1Jc6di0gmw7tbN9JWrcKal4dXp05lmlgkzp0LgkDYxIlOj0mw2bj/6ad4d+uGb+/eRT9P37wZzwcPiHvwwOnndPG/Q5cuXahevTrLly8v17jc3FzeeOMNVq5cibpBA7x79EBZq1aJ382MrVvJi4mhxhdfOCPsJ9BduULy4sUgEuH/7LN4de7s0DUgbd06DPfuETl1atXEdeMGyfPng1iMPCSEoBEjUJQhhi/YbNz78EN8+/Z16k7bw6SsWIElK4vwt94q+lnq6tVUNxi4dOFClZzTxd+P9u3b07BhQxYvXvzEa4W1tHl5eXTo0AGbzUZISAghISFFq5cV+T9Q4bF/h7kzMzNp0qQJS5cupXfv3k8cq9PpWLt2LWKxmDFjxlTavKM4qswxTqFQULNmTYe7HwVBsFvuenuzbOlShg0dyudffEHM4sUovL2RRUYiDw9H4uEBgoA1NxdTYiL6W7cQyWTIAgKq5n1ERGDduxeJXE7YpEnknjhB9u7daGNicAsKQhoRgTwsDImbG4LVijkjA3NiIro7d1BWr15l9q7KyEg0Z86gql2byClTyNqzh9yjR8k5eBB1tWpIwsKQBwcXCWKbU1KwJCaij4vDu1u3KolJJBajCA/HmJDwyM8tCQm0qwJ9Pxf/W4SFhZWot/k4hc/uhdalf/zxB8OGDePd99/n7uzZuAUHI69du8jqG7EYm06HISGBvNOnq8QJspDCa5G6SRMyNm9Ge+kS/gMHlvrQDGDVaOyxVlVcBeVPAUOHknvkCPE//4xHy5Z2F7oSytasBgOC2ezU0qnHkXp7Y3xoJViwWDBev06PceOq7Jwu/n789ddfxeYjZrOZlStXYjAYGDRo0BMOt4WJXGX+78y5/pfm9vf3JykpCT8/v6LSp8Jj7969y549e6hZsybDhg1DXEW5VJUlwfXr1+fu3bsOHTtkyBAMBgM7Hqqj69+/P/379+fMmTOsXbuW6DNnOH/sGNqC8gpvHx/aRkWRLhZzJze3ypLNwpulKTUVlbc33p06ob9xA3+djr5PP030mTNc3bULk9GISCQiODSUrq1acSI3F1MVPLU8HJc1NxebwYBYqcSvXz/yz52jQ4sWREREEH3mDHejo7FarYglEmrWqkVU27asefAAxUN/jFUR18NNQeaMDHT37vH0xx9X2Tld/G/gaOPDgQMH6NmzJ3fu3HnESnPgwIEMGDCAgwcPsmzZMk6cOsXd48cf2UYLCglB6e6OxknSRMVRWJbl1bEjXp07k7Z6NQm//IIyPBx1s2YoIiKQBwcjkssRTCZ7LXB8PIa7d1E85Drl/MDsCbjc35+Id98lddUq8s6dI+/MGZS+vkhDQ5EGBSGWSrGZTJhTUzEXNh1WpYySSPRInbL20iVMGg2vvfZa1Z3Txd+O4h6wLRYLf/75J/n5+QwcOPCJBNhF1SKTyQguZkHi7t277Nq1C19f3ypNgKEKk2BBELBYLEgkkjLfgEgkKrHeo3Xr1o+UU9gKLpaFc44YMYJ7MTFOivpJCvVDCxs1zJmZ6K5d4+f58xk/fnzRcVarFbFYXLTSE1mjBuaqvNE+Fpfu8mVMubn88ssvRT7mhXEVutBkZGSwZs2aorFVgViheESGKffECTw8PRk+fHiVndPF/wZWqxVBEJCWUdtf+N0v7pohEono0aMHPXr0AOy9CRkZGVitVry8vPD392fUqFFsiY52/hsooFDpQCSX41a9Oqq6dTHExNCxfn1OHjpEpk73xBiVWk2Qry85ThbpfySu/HzArjtuMxgw3b7NwAEDeP211zhy5Ahnzp7l1u3bGI1G1G5uNGrQgJaDBvHtd99hLSZmp8Wl0yEuUM+xmc1o9u6la7duNGzYsMrO6eLvR7du3YiMjGTFihWAPQEuXAF+9tlnq2Sr3UXp3L59m7p163Lo0CG6du0K/DsB9vPzq/IEGKowCb516xb169fnyJEjdC5DW3LevHkOFz0//oEoHku6nE3h3CKJBEEQyNy0iYDAQEaOHPnIcY/bHSoUCjT/gbiQSLAZjeRs3073Hj0eSYAfj0tRIDtUlZ+XzWwuaqAxpaaSd+wYUz/4wNUU56JM+vbti7e3N2vXri31uHbt2hEbG/vI9lpJuLu74/6YDnDDhg1Zt2VLUQmWszEVKFXIAwPJv3kTzcmTzJ49m4kTJ2Kz2bh9+za3bt3CaDSiUCioW7cuderU4aeffuLDTz9FsNmqZGfLmJAAYjFSPz/SV6zATSplwfz5BAUF0a9fvxLHbdy8maTHSpycHVdhbXLWzp1YsrKYM3t2H/HhaAAAFftJREFUlZ3Pxd+TwMBAvAvKjcxmM3/++Sc6nc6VAP8XkclkhIaGFpVC3L17l507d+Lv7/8fSYChCpPg0lZrHiegEvW8tWrVwrR+fdXd0Ark2mT+/uSdPo326lVWbtlSpr923dq1SXawHKSicYnVasRKJenr1oFOx6KFC0sd4+7ujq+fX4W0mB3FnJqKzN8fwWIhY/VqalSvzqefflpl53Pxv4NYLHboeqFUKh2SXiyJqKgozDod5owM5FXQS2CIi0Pm7485M5P05cvp+dRT/OMf/wDs77FevXrUq1fviXGtWrXCajRiSk4us2GtQnE9eIA8OJj0P//EePcu27dtI8iBZuK2rVuzrhhDC2dgMxgwJifj0aYNmjNnyDl4kO+//961CuzC6axbtw4Ak8nEmjVrikogXAnwf4/q1auTWGBGVrgCHBAQwPPPP/8fSYChCiXSatSoQVJSEu0ckOL68ssvKyxQXXhDsxRj2esMjAkJiFUqjCkpZKxfz7hx4xg4cGCZ41q3aoU5MbHKZD2M8fEoIyLI3rcPzcmTzPzlF2rWrFnqGJFIROvWrTFV0aqOIAhFqzppf/yBOSmJFcuXl2qH6MJFIStXrmTBggVlHnflyhU6derE/fv3K3SeDh064KZSoT13rkLjS0OwWtFeuIDU35+UuXNp2rAhGzdscOiC3qFDB/wCAtBUQamGVa9He+kSttxcTLdvs3nTJnr16uXQ2Oeee478xMQnZMycQd65c2CzYdVqSVu1ipdffpkPPvjA6edx4eLmzZtcvXqVdevWodFoGDBgAOFONqVxUT6MRiOnT5/m4sWL7Nixg8DAQJ577rkndtarkipLgqVSKSEhIQ6Jnd++fZvLj4mlO0q7du2QyeVoKzi+NARBQHvpElIvL9KWLqV/v35F2nVl0bVrV0x5eRju3XN6XFa9Hv3t21jz88nasYMvv/zS4SaS7t26YbhzB2tBfaAzMdy/j1WrRX/jBvpr11i3dq1DD0EuXAD4+fnh44AKgVar5fjx4+gqWKfq6enJi2PGoIuOdnppkPbSJax5eehv3KBf794cPHAAT09Ph8bK5XL+8dpr5J896/Tvp+bUKQSzmYa1a3Ph/PlSyx8ep1+/foSFh5N75IhTYxJsNnKOHUOiVpO9Zw9vv/UWCxcurJIdPRcuJk2axCuvvEJubi6DBg1yJcD/B0hNTaVt27bMnz+fkJAQBg0aVGZPiLOpsiQ4JSWFtm3bEu3AqsbEiRP55JNPKnSewu5B3cmTFbIQLg1DbCymxERMyclMeuMNNqxf77DkW9euXalZuzaa48edGhNA3unTCBYLQmoqc+fO5fPPP3d47NixYxEJAnmnTzs9rtxjxxBJJHiazezetavKvL5d/G/ywQcf8P7775d5XO3atVm5cmWlbmKTJ0/GnJdH9v79FZ7jcWxGIxlbtiCVy1m5ciWbN23Cw8OjXHO88cYbKKRSMrdscVpc5qwssnbupFOnTpw7e5YGDRqUa7xEIuGzTz8l79y5CtlBl0TOwYOYU1LwdXNj7969/Pzzz/+xLVAXfz/q16+Pt7c3NWrUKPo7+7/gmvb/09yF/3fWXBqNhoYNG+Ln58fAgQMdzq+cSZVdccxmM6dPnyYnJ6fMYzt06MBTTz1V4XO9OWkShvR0NCdPVniOxxFsNjL/+guZXM6BAweYOXNmuX5BYrGYtydPRnvxolO3Ea06HVl79xIQEMDVK1eKag0dJSgoiBeGDUNz6JBTO74NcXFoL1ygVVQUN65fL+rOd+HCUW7fvs1NB5Isf39/Ro4cWdTkUhEaNmzIxx99RM7evRgKZcAqScZffyHW67kQE8PIkSMrtKIZEhLCzF9+QXP6NNqLFysdk2CxkL5qFSGBgWzfvr3Cqyzjx4+nS7duZK5bhyUvr9JxGeLjydq5kz59+vDgwYNKXf9duHCEWbNmERUVRb+HdnT/L7im/f80d+H/nTXX+vXruXbtGoIg/Ncs0qvMMS4/P5/t27fTuXPnYnXgHmb9+vWkpaUxsRIuZq+++irLVq4k7IMPkPn6VnieQnKOHCFj0yb27dtHz549KzSH2Wymddu23EpJIeSddxA74Skn9Y8/sN28ya2bNyusaZicnEz9hg0RatUiaPToSsckWCwk/Pgj7hYLVy5fLvP37cJFcRwv0PTtVIbVeFJSEr/++iuTJk2q1GqwyWSibbt2XLt3j+CJE5EHBlZ4rux9+8jcvp358+dXWt9WEASGvfACmzZvJnDcONTlXLktmsdiIXXFCow3brB3z54iCaKKEhsbS+s2bdDK5QS99hrScq5yF2JMTCRl/nyCvL35+aefeP755ysVlwsXjvJ/0TXt/6e5C/8PVMnc/w2qLAkuD6+88grXrl3jZCVWcjUaDQ0bNSLLZiN44kQkZag3lIbuxg1SFy/mH6+9xuxKSvVcvnyZVq1aoWjQgMAxY4rkwypC9v79ZG7bxvLlyxkzZkyl4lq5ciWjR4/Gt39/fCuxCiNYraT98Qf6K1ewWCzcvn2b2rVrVyo2Fy5K48KFC7Ro0YIzZ87QqlWrco2Ni4tj1apV6HQ6Bg4cSGRkJJ27dOFBcjJ+I0agrl+/XPPZTCYyt20j9+hRvvjiC6ZNm1au8SVhNBp57vnn2blzJ959+uDTo0e5rh2mtDQyVq/GnJjI+nXrHGrmdYQrV67Qo2dP8mw2fIcNQ1WnjsNjhYIyrOwtW2jUoAF6nY4+ffowc+ZMp8TmwoULF+Wlysoh8vLyePfdd7l69WqZx3bv3p0hQ4ZU6nyenp7s3bMHN5OJlDlzMKWllXsOQRDIO3uW1MWL6dO7N7/88kulYgJo0qQJa9euJf/qVVKXLq1QCYJgtZK5fTuZ27bx2WefVToBBhg1ahRffPEFWdu3k7F1K4LVWu45rPn5pC5diu7yZX755RcmTJjgcBOQCxePs3z5cubNm1fmcf7+/kyYMKHc0oo7d+6kbt26/POf/2TOnDm0bt2auXPncvzYMTq3aUPy/PmkrV6NOSurzLkEmw3d1ask//QT+tOn+e2335yWAINd03vTxo1MnTKFnF27SJ45E+2lS2V+Ty05OWTu2EHijz8SJBJx6OBBpyXAAI0bN+Z0dDStGjYkac4cUv/8E2OBxFFJCDYb+TdvklLw+Y564QUOHzzI6NGj6dixo9Nic+HChYvyUmUrwWlpaQQFBbF58+b/aIPUjRs36Ne/P3EJCXj37Yt3p05FNqalYcnJIXPTJvIuXWLkqFH8vmSJU2tUduzYwQsjRmAWi/EZPBh1kyYO1Qwa4uPJWrcOQ1IS337zDR988IFTu6dnzJjB1A8/RBkaiu/QoSgjIsocIwgCuitXyN64EZnNxqqVK3nmmWecFpOLvycvvPACmZmZ7KsCTVqLxULNmjVp2LAh69evx83NjWnTpvH1119z69YtateuzaJFi3jvgw/I02hwb9gQt/r1UUREIPP3RySR2DVtC6TC9DExGDIyaN+hA78vWVKs7q+zOHPmDG9Onkz0qVMofHyQ16mDIjzcHpdYXBSXKT6e/Fu3cHNzY+KECXz55ZdVZlJjs9mYN28eX339NSnJyagiI5FVq4YiPByJuzsIApacHIzx8Zju38eQlkbDRo2Y/sMP5VKmcOHChYuqpMqSYK1WyyeffMKrr75KkyZNSj328uXLZGdn06VLF6ecOz8/n48//phff/0Vmbs76rZtUTVsiCIsrMgGGcCSm4shLg5dTAzaS5fw8fVl/ty5VVajlpiYyKvjx7Nr507cgoNRt22LW506yIODi7Y6BUHAnJGB4cEDdNHR6O7epX6DBqxYvrzcW7+Ocu7cOca8+CLXr11DXasW6jZtUNaogczPr8i5SrBaMaWkoL99G110NPqUFPo8/TSLFi4kPDyc7Oxsjh07Rrdu3crdEe/CBcCyZcvQarW88cYbpR6Xl5fHoUOH6NixI74O1v9fv36dhg0bsnfv3qImLIPBgFqtZvbs2UUNpjqdjlWrVjF/wQLOnz+PtRgJNW8fH5555hkmvfEGbdq0+Y9Jel24cIHFixdz9Phxrl65gsVsLnrN19+fNq1bM+CZZxg9evR/bEfGYrGwdetW1q5dS/SZM9x/yCBIIpXSoGFD2rdty4svvkjHjh0f+ayOHj2Kl5cXTZs2/Y/E6sKFCxdPIPwfYOLEiULz5s2dPu+1a9eEyZMnC+4eHgIgiMRiQennJ7gFBAgKT08BEAChTr16wqxZs4ScnBynx/A4NptNOHz4sDBs2DBBIpUKgCCRywU3f3/BLSBAkLm5FcXVuWtXYe3atYLJZKryuEwmk7Bu3TqhS7duReeXubkJbgEBgpu/vyCRy+2xSqXC0KFDhUOHDgk2m61o/MmTJwVAuHLlSpXH6uLvzfXr1wVAOHr0qMNjUlJSBJFIJMybN6/oZ9euXRMAYf369cWO0ev1wunTp4UNGzYIq1evFrZu3So8ePDgkb/7/xYGg0GIj48X7t27J6Slpf2fiEkQBEGr1QqJiYlCcnKyYDAYSj02KipKeP311/9Dkblw4cLFk1SZKrHZbGbr1q20adOmzA7u8PBwatWq5fQYGjRowMyZM5k+fTpXr17l3LlzxMbGYjabUavVNGrUiKioKCIjI/9jqzkikYguXbrQpUsXtFotFy5c4Ny5c6SlpWGz2fD29qZ58+a0bNmyUnbS5UUmk/H888/z/PPPk5GRwblz57hw4QJXr15FJBLRsmVLoqKiaN68Oe7u7k+MV6vVNGnS5L8mc+Li/3/OnTuHTqcrc0dIqVTSpEmTcjkRBgUF8fzzz/PBBx+QlZWFn58f06dPJzIyssRSHqVSSevWrWndunW53sd/AoVC8X9S7F+n03Hq1CmefvppFApFqcfWq1evwgo3Lly4cOEMqqwcQqPR4OXlxZo1axg2bFhVnMLFf4Bnn30Wm83G1q1b/9uhuPgf56WXXuLevXscPXq0SubXarW89dZbrFy5EqPRSM+ePZk7dy51yqFw4KJ09u3bR69evbh//z7Vq1f/b4fjwoULF6VSZSvBMpmMqKgohwTt9Xo9JpMJLy+vqgrHRQWpXbs2VgeUI6xWKxqNBg8Pj/+47aGL/w1q1Kjh0N+OzWYjNzcXd3f3chnYuLu7s3jxYubOnVu0G+TCuXh5eREVFeXQ7yUvLw+xWOz6Pbhw4eK/xv8JneD33nuPHTt2cP369f92KC4qSKF269mzZ4mKivpvh+Pif5gHDx5Qo0aNR5rcXPz/R+fOnalVqxZLly79b4fiwoWLvylVtmQnCALp6el4eHiUWbuXm5uL0WgkJibmCScRoFLuIxV1MKnMef9/jv3x86rVahITE9Hr9aXOcenSJcAujefCRUXIy8vDbDaXqfhQuDORnp5e7DXj/+r38v/ad7sqzuvv78+NGzfQ6/VERESUet7MzEyXu6QLFy7+q1SZWYbFYiEoKIh169aVetzt27epV68e7dq1K9ZjujK+1BUZ44zz/v8c++M/Gz9+PM8880ypY2bOnMn/a+/+Qppq4ziAf+3NwpsoimFaaX8YGiQrdGqtFCqkf25nLUYE2mVdBoEYghfRbdBVdJX0z1GR6LBAuonZjseIijCZGyKEFMvmNs6WOybr4iVfel295uvZOafz/dw9Zzv7/WB7Dj+ePX9aW1sBAMFg8JffN9HPXLx4EU1NTb98jyzLCAaDuHr1Kt69e6d5/8j3Z+g9riRJqKqqQm1t7S/jXrp0CaOjo3ld/EtE9G+qTYf4+vUrCgsLcfPmTZw9ezbne0KhEB4/fowdO3bAZrPh06dPhhv5MPKozWLiXrhwAZOTk7h27VrOe9atW4cbN27g48ePOHToEHbu3Dn/OUS/4/z58xgeHsbLly9zvp7JZPDo0SPEYjEIgoCCggLN+4eR+7YaccfHx+FwOPDgwQPs27cvZ9xwOIxnz56hpKQER48e5fOCiDSjWhGczWaRyWRQWFiIv3KceR8KhTAwMICNGzfC6XT+1gIXyh9FUQAg59ZnqVQKPp8Ps7Oz8Hg82LBhQ77Toz+IoijIZrM5t9ZSFAX37t2DLMs4efIkCyedmpubw+zsLFatWoUVKxb+0RgMBiGKIqqrq9HQ0KBBhkRE/9BkYVwkEkFfXx/KysrgdrvztkcvLZ9kMom+vj4kk0m43W7O7SPVyLIMv9+PWCwGp9Opy/1x6b8FAgFIkoS6ujo4HA6t0yEiUm9OMABUVFTA5/P9cG1sbAz9/f3Yvn07mpubWQDrXFtbG06fPv3DNUVR0NPTA1mW4fV6WQDTsrhy5cqCgyu+H7rz+fNnuN1uFsA69/btW1it1gU7/QwODuLVq1eoqalhAUxEuqFqERyJRBCPx39oDwwMoLi4GMeOHeMUCAOIRqN4//79fFuWZdy9exfpdBqCIGD9+vUaZkd/kqmpKUxMTMy3M5kMuru7MT09DUEQOAXCABRFQTgcxszMzPw1SZIgiiJsNhunQBDRT3348AFerxeVlZVoaGjA4OCg6jFVnQ7x9OlTVFRUYNOmTYhEIvD7/SgvL4fL5eIIsEGMjIwgnU6jpqYGsiyjt7cXyWQSgiBwBJiWVSgUQiwWQ319PVKpFPr7+xGNRuF0OrF582at06NFSCaTGB4eht1ux5o1a/D8+XMMDQ3Bbrdj//79WqdHRDolyzLsdjump6fh9XohiiJev34NURSxZ88e1eLmZU5wOBzGkydPUFZWhiNHjuRcZEX69n1h0pcvX+DxeLi1Ealmbm4OPp8P8XgcLpcLpaWlWqdESyCKIl68eIFdu3ahsbGRAx9E9FO9vb1wuVx48+YNqqqqkMlkUFlZiaamJly/fl21uKqeb3vu3Dns3bsX8XgcFosFJ06cyLlimPTr1q1bCIVCsFqtmJmZgSAILIBJFQ8fPsTQ0BBsNhsSiQScTicLYIOZnJxER0cHjh8/jkgkgtraWjQ2NmqdFhHpXDqdBoD5f/1Wr14Ni8WCVCqlalxVK9Lbt2+jp6cHW7ZswalTp1gAG1AgEEB3dzdSqRRcLhenQJBqJEnCnTt3kEgk0NzczEVwBpRIJNDV1YVAIID6+nrOASaiRamrq0NRURFaW1sRCARw+fJlSJKEgwcPqhpX1ZHglpYWrF27FsXFxYhGo7rZ0F1PcfWee3l5OXbv3g2PxwOLxaLmz4VMzuFwYGxsDNu2bcPKlX8/mvTeP3iwxsL24cOHYbVaceDAgfz9eIjI0LZu3Yr79+/jzJkz8Pv9AID29na0tLSoGzirss7OziyAbGdn56LaS7nne3sp92gd10i5E6nNyP1jOeMaOXc+M4hoqWRZzo6MjGSj0Whe4qm+MM4MIx//J66RcidSm5H7B0eCF8YlItIzTU6MIyIiIiLSEleqEREREZHpsAgmIiIiItNhEUxEREREpsMimIiIiIhMh0UwEREREZkOi2AiIiIiMh0WwURERERkOiyCiYiIiMh0WAQTERERkemwCCYiIiIi02ERTERERESmwyKYiIiIiEznG5G3lfntxKMxAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from common import plot_trajectory\n", "plot_trajectory(\"trajectories/RuH.xyz\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's distinguish atoms based on whether they are H or Ru, and whether their z coordinate is greater or less than 6 angstrom.\n", "\n", "Backslashes can be used as on the PrintGroup line to make it clearer which group is printed as which chemical element.\n", "\n", "This example illustrates the ``REGION``, where you can use combinations of ``MinX``, ``MinY``, ``MinZ``, ``MaxX``, ``MaxY``, and ``MaxZ``.\n", "\n", "If also illustrates ``INTERSECTION``, which takes the intersection of two or more groups." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DumpFile trajectories/RuH.xyz\n", "DumpFileFormat mattixyz\n", "Overwrite\n", "CoutFrequency 200\n", "DefineGroup Z_gt_6 REGION MinZ 6\n", "DefineGroup Z_lt_6 REGION MaxZ 6\n", "DefineGroup Ru ATOMICNUMBER Ru\n", "DefineGroup H ATOMICNUMBER H\n", "DefineGroup H_z_gt_6 INTERSECTION H Z_gt_6\n", "DefineGroup H_z_lt_6 INTERSECTION H Z_lt_6\n", "DefineGroup Ru_z_gt_6 INTERSECTION Ru Z_gt_6\n", "DefineGroup Ru_z_lt_6 INTERSECTION Ru Z_lt_6\n", "PrintGroup All XYZ z6.xyz SPECIAL H_z_gt_6 H H_z_lt_6 Li Ru_z_gt_6 Cu Ru_z_lt_6 Ru\n", "###########################################################\n", "Running on 1 threads on host .SCMCoffee1\n", "There are 9 groups and 10 actions.\n", "I am lionanalysis version 0.5\n", "Opening dumpfile trajectories/RuH.xyz at byte 0 : 0\n", " -999 (1) ( 0 ps) (5.50747e-05 s) ( 0.0877 %)\n", " -800 (200) ( 199 ps) (0.019080162 s) ( 19 %)\n", " -600 (400) ( 399 ps) (0.039276123 s) ( 39.1 %)\n", " -400 (600) ( 599 ps) (0.05884409 s) ( 58.7 %)\n", " -200 (800) ( 799 ps) (0.079301119 s) ( 79 %)\n", " 0 (1000) ( 999 ps) (0.10025215 s) ( 99.9 %)\n", "Closing dumpfile trajectories/RuH.xyz at byte -1\n", "Finished reading dump file... 1001 frames... Writing output....\n", "FIRST TIMESTEP: -999\n", "LAST TIMESTEP: 1\n", "Total time: 0.10046196 s; 0.0001003616 s/timestep\n", "Goodbye!\n" ] } ], "source": [ "%%sh\n", "cat > cc1.config <" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_trajectory(\"z6.xyz\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Number density of particles for an axis" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "%%sh\n", "cat > cc2.config < cc2.out" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "#xyz raw rawpertimestep distfuncpertstep distfuncpertstepperarea # axis: z group: ru timesteps: 1001 avgarea: 69.3554\n", "0 0 0 0 0\n", "0.05 0 0 0 0\n", "0.1 0 0 0 0\n", "0.15 0 0 0 0\n", "0.2 0 0 0 0\n", "0.25 0 0 0 0\n", "0.3 0 0 0 0\n", "0.35 0 0 0 0\n", "0.4 0 0 0 0\n" ] } ], "source": [ "!head density_ru.txt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``rawpertimestep`` contains the average number of atoms in the group per timestep, for that particular z bin:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "def density2df(filename: str) -> pd.DataFrame:\n", " return pd.read_csv(filename, sep=\"\\s+\").iloc[:, :5]\n", "\n", "df = density2df(\"density_ru.txt\")\n", "df.plot(x=\"#xyz\", y=\"rawpertimestep\", kind=\"line\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, the peak at z = 2 angstrom is higher/sharper than the others, because the bottom layer was thermostatted at a much lower temperature when the MD simulation was run.\n", "\n", "We know that there are 36 Ru atoms for all frames, so the cumulative sum should add up to 36:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df[\"rawpertimestep_cumsum\"] = df[\"rawpertimestep\"].cumsum()\n", "df.plot(x=\"#xyz\", y=\"rawpertimestep_cumsum\", kind=\"line\", title=\"Ru cumulative #atoms vs z.\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, it is usually more useful to report the **number density** as opposed to the number of particles. This number depends on both the lateral xy surface area, and the ``Resolution`` (that was set to 0.05). It is reported in the ``distfunctperstepperarea`` column." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.plot(x=\"#xyz\", y=\"distfuncpertstepperarea\", kind=\"line\", xlabel=\"z (ang.)\", title=\"Ru atoms number density (particles/ang^3)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This relation holds:\n", "\n", "``distfuncpertstepperarea = rawpertimestep / (Resolution * avgarea)``\n", "\n", "where ``Resolution = 0.05`` angstrom (set in the lionanalysis input file) and ``avgarea`` is the average lateral xy surface area in ang^2. It is reported in the top line of ``density_ru.txt``:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "#xyz raw rawpertimestep distfuncpertstep distfuncpertstepperarea # axis: z group: ru timesteps: 1001 avgarea: 69.3554\n" ] } ], "source": [ "%%sh\n", "head -n 1 density_ru.txt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Let's compare the Ru and H number densities**:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "files = [\"density_ru.txt\", \"density_h.txt\"]\n", "\n", "fig, ax = plt.subplots()\n", "for f in files:\n", " density2df(f).plot(x=\"#xyz\", y=\"distfuncpertstepperarea\", xlabel=\"z (ang.)\", ylabel=\"Number density (particles/ang^3)\", ax=ax)\n", "\n", "ax.legend(files);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that H is primarily located on either side of the surface, with small peaks inbetween some of the Ru layers." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, **let's see the effect of the NoPeriodic** option. When setting NoPeriodic, the z coordinate is not translated into the main unit cell. In this case, it means that some bins with z <0 or >15 are registered, since the trajectory contains hydrogens with those z coordinates (note: the coordinate cannot deviate more than 10 angstrom from the min/max)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "density2df(\"density_h_noperiodic.txt\").plot(x=\"#xyz\", y=\"rawpertimestep\", ax=ax)\n", "density2df(\"density_h.txt\").plot(x=\"#xyz\", y=\"rawpertimestep\", ax=ax)\n", "ax.legend([\"NoPeriodic\", \"Default\"])\n", "ax.set_title(\"Hydrogen rawpertimestep\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that the trajectory contains hydrogens with z = -2 ang. (see also frame #1001 at the top of this notebook). But by default the number density will instead by shown at the other end of the unit cell, i.e., at around z=15-2=13 ang." ] } ], "metadata": { "kernelspec": { "display_name": "openmm", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 2 }